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Simplifying (x + 4) * 4 = 6(x + -2) Reorder the terms: (4 + x) * 4 = 6(x + -2) Reorder the terms for easier multiplication: 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 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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