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Simplifying 4(x + -1) + -2(3x + 5) = 3x + 1 Reorder the terms: 4(-1 + x) + -2(3x + 5) = 3x + 1 (-1 * 4 + x * 4) + -2(3x + 5) = 3x + 1 (-4 + 4x) + -2(3x + 5) = 3x + 1 Reorder the terms: -4 + 4x + -2(5 + 3x) = 3x + 1 -4 + 4x + (5 * -2 + 3x * -2) = 3x + 1 -4 + 4x + (-10 + -6x) = 3x + 1 Reorder the terms: -4 + -10 + 4x + -6x = 3x + 1 Combine like terms: -4 + -10 = -14 -14 + 4x + -6x = 3x + 1 Combine like terms: 4x + -6x = -2x -14 + -2x = 3x + 1 Reorder the terms: -14 + -2x = 1 + 3x Solving -14 + -2x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + -2x + -3x = 1 + 3x + -3x Combine like terms: -2x + -3x = -5x -14 + -5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -5x = 1 + 0 -14 + -5x = 1 Add '14' to each side of the equation. -14 + 14 + -5x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 1 + 14 -5x = 1 + 14 Combine like terms: 1 + 14 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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