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