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Simplifying 4(x + -4) = 3x + -14 + -6(2 + -1x) Reorder the terms: 4(-4 + x) = 3x + -14 + -6(2 + -1x) (-4 * 4 + x * 4) = 3x + -14 + -6(2 + -1x) (-16 + 4x) = 3x + -14 + -6(2 + -1x) -16 + 4x = 3x + -14 + (2 * -6 + -1x * -6) -16 + 4x = 3x + -14 + (-12 + 6x) Reorder the terms: -16 + 4x = -14 + -12 + 3x + 6x Combine like terms: -14 + -12 = -26 -16 + 4x = -26 + 3x + 6x Combine like terms: 3x + 6x = 9x -16 + 4x = -26 + 9x Solving -16 + 4x = -26 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 4x + -9x = -26 + 9x + -9x Combine like terms: 4x + -9x = -5x -16 + -5x = -26 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -5x = -26 + 0 -16 + -5x = -26 Add '16' to each side of the equation. -16 + 16 + -5x = -26 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = -26 + 16 -5x = -26 + 16 Combine like terms: -26 + 16 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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