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Simplifying 4(x + 4) = 3(x + -2) + -2(x + 2) Reorder the terms: 4(4 + x) = 3(x + -2) + -2(x + 2) (4 * 4 + x * 4) = 3(x + -2) + -2(x + 2) (16 + 4x) = 3(x + -2) + -2(x + 2) Reorder the terms: 16 + 4x = 3(-2 + x) + -2(x + 2) 16 + 4x = (-2 * 3 + x * 3) + -2(x + 2) 16 + 4x = (-6 + 3x) + -2(x + 2) Reorder the terms: 16 + 4x = -6 + 3x + -2(2 + x) 16 + 4x = -6 + 3x + (2 * -2 + x * -2) 16 + 4x = -6 + 3x + (-4 + -2x) Reorder the terms: 16 + 4x = -6 + -4 + 3x + -2x Combine like terms: -6 + -4 = -10 16 + 4x = -10 + 3x + -2x Combine like terms: 3x + -2x = 1x 16 + 4x = -10 + 1x Solving 16 + 4x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 4x + -1x = -10 + 1x + -1x Combine like terms: 4x + -1x = 3x 16 + 3x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + 3x = -10 + 0 16 + 3x = -10 Add '-16' to each side of the equation. 16 + -16 + 3x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = -10 + -16 3x = -10 + -16 Combine like terms: -10 + -16 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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