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Simplifying 4(x + -4) = -3(x + 6) Reorder the terms: 4(-4 + x) = -3(x + 6) (-4 * 4 + x * 4) = -3(x + 6) (-16 + 4x) = -3(x + 6) Reorder the terms: -16 + 4x = -3(6 + x) -16 + 4x = (6 * -3 + x * -3) -16 + 4x = (-18 + -3x) Solving -16 + 4x = -18 + -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. -16 + 4x + 3x = -18 + -3x + 3x Combine like terms: 4x + 3x = 7x -16 + 7x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 7x = -18 + 0 -16 + 7x = -18 Add '16' to each side of the equation. -16 + 16 + 7x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -18 + 16 7x = -18 + 16 Combine like terms: -18 + 16 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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