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Simplifying 3(x + -1) + -7 = -4(-4x + 1) + -1x Reorder the terms: 3(-1 + x) + -7 = -4(-4x + 1) + -1x (-1 * 3 + x * 3) + -7 = -4(-4x + 1) + -1x (-3 + 3x) + -7 = -4(-4x + 1) + -1x Reorder the terms: -3 + -7 + 3x = -4(-4x + 1) + -1x Combine like terms: -3 + -7 = -10 -10 + 3x = -4(-4x + 1) + -1x Reorder the terms: -10 + 3x = -4(1 + -4x) + -1x -10 + 3x = (1 * -4 + -4x * -4) + -1x -10 + 3x = (-4 + 16x) + -1x Combine like terms: 16x + -1x = 15x -10 + 3x = -4 + 15x Solving -10 + 3x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 3x + -15x = -4 + 15x + -15x Combine like terms: 3x + -15x = -12x -10 + -12x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -12x = -4 + 0 -10 + -12x = -4 Add '10' to each side of the equation. -10 + 10 + -12x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = -4 + 10 -12x = -4 + 10 Combine like terms: -4 + 10 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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