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Simplifying -4(x + -2) + 6x + -15 + -1x(4 + -3) = 14 + -3(x + 2) + 7x + -4 Reorder the terms: -4(-2 + x) + 6x + -15 + -1x(4 + -3) = 14 + -3(x + 2) + 7x + -4 (-2 * -4 + x * -4) + 6x + -15 + -1x(4 + -3) = 14 + -3(x + 2) + 7x + -4 (8 + -4x) + 6x + -15 + -1x(4 + -3) = 14 + -3(x + 2) + 7x + -4 Combine like terms: 4 + -3 = 1 8 + -4x + 6x + -15 + -1x(1) = 14 + -3(x + 2) + 7x + -4 Reorder the terms for easier multiplication: 8 + -4x + 6x + -15 + -1 * 1x = 14 + -3(x + 2) + 7x + -4 Multiply -1 * 1 8 + -4x + 6x + -15 + -1x = 14 + -3(x + 2) + 7x + -4 Reorder the terms: 8 + -15 + -4x + 6x + -1x = 14 + -3(x + 2) + 7x + -4 Combine like terms: 8 + -15 = -7 -7 + -4x + 6x + -1x = 14 + -3(x + 2) + 7x + -4 Combine like terms: -4x + 6x = 2x -7 + 2x + -1x = 14 + -3(x + 2) + 7x + -4 Combine like terms: 2x + -1x = 1x -7 + 1x = 14 + -3(x + 2) + 7x + -4 Reorder the terms: -7 + 1x = 14 + -3(2 + x) + 7x + -4 -7 + 1x = 14 + (2 * -3 + x * -3) + 7x + -4 -7 + 1x = 14 + (-6 + -3x) + 7x + -4 Reorder the terms: -7 + 1x = 14 + -6 + -4 + -3x + 7x Combine like terms: 14 + -6 = 8 -7 + 1x = 8 + -4 + -3x + 7x Combine like terms: 8 + -4 = 4 -7 + 1x = 4 + -3x + 7x Combine like terms: -3x + 7x = 4x -7 + 1x = 4 + 4x Solving -7 + 1x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 1x + -4x = 4 + 4x + -4x Combine like terms: 1x + -4x = -3x -7 + -3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -3x = 4 + 0 -7 + -3x = 4 Add '7' to each side of the equation. -7 + 7 + -3x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 4 + 7 -3x = 4 + 7 Combine like terms: 4 + 7 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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