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Simplifying 2(x + 4) = 6(x + -2) + -16 Reorder the terms: 2(4 + x) = 6(x + -2) + -16 (4 * 2 + x * 2) = 6(x + -2) + -16 (8 + 2x) = 6(x + -2) + -16 Reorder the terms: 8 + 2x = 6(-2 + x) + -16 8 + 2x = (-2 * 6 + x * 6) + -16 8 + 2x = (-12 + 6x) + -16 Reorder the terms: 8 + 2x = -12 + -16 + 6x Combine like terms: -12 + -16 = -28 8 + 2x = -28 + 6x Solving 8 + 2x = -28 + 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. 8 + 2x + -6x = -28 + 6x + -6x Combine like terms: 2x + -6x = -4x 8 + -4x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -4x = -28 + 0 8 + -4x = -28 Add '-8' to each side of the equation. 8 + -8 + -4x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -28 + -8 -4x = -28 + -8 Combine like terms: -28 + -8 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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