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Simplifying -4(2 + -1x) + -3 = 2(x + -6) + 4(2 + -3x) + 7 (2 * -4 + -1x * -4) + -3 = 2(x + -6) + 4(2 + -3x) + 7 (-8 + 4x) + -3 = 2(x + -6) + 4(2 + -3x) + 7 Reorder the terms: -8 + -3 + 4x = 2(x + -6) + 4(2 + -3x) + 7 Combine like terms: -8 + -3 = -11 -11 + 4x = 2(x + -6) + 4(2 + -3x) + 7 Reorder the terms: -11 + 4x = 2(-6 + x) + 4(2 + -3x) + 7 -11 + 4x = (-6 * 2 + x * 2) + 4(2 + -3x) + 7 -11 + 4x = (-12 + 2x) + 4(2 + -3x) + 7 -11 + 4x = -12 + 2x + (2 * 4 + -3x * 4) + 7 -11 + 4x = -12 + 2x + (8 + -12x) + 7 Reorder the terms: -11 + 4x = -12 + 8 + 7 + 2x + -12x Combine like terms: -12 + 8 = -4 -11 + 4x = -4 + 7 + 2x + -12x Combine like terms: -4 + 7 = 3 -11 + 4x = 3 + 2x + -12x Combine like terms: 2x + -12x = -10x -11 + 4x = 3 + -10x Solving -11 + 4x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -11 + 4x + 10x = 3 + -10x + 10x Combine like terms: 4x + 10x = 14x -11 + 14x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -11 + 14x = 3 + 0 -11 + 14x = 3 Add '11' to each side of the equation. -11 + 11 + 14x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 3 + 11 14x = 3 + 11 Combine like terms: 3 + 11 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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