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Simplifying -16 = -6(x + -2) + 8(x + -4) Reorder the terms: -16 = -6(-2 + x) + 8(x + -4) -16 = (-2 * -6 + x * -6) + 8(x + -4) -16 = (12 + -6x) + 8(x + -4) Reorder the terms: -16 = 12 + -6x + 8(-4 + x) -16 = 12 + -6x + (-4 * 8 + x * 8) -16 = 12 + -6x + (-32 + 8x) Reorder the terms: -16 = 12 + -32 + -6x + 8x Combine like terms: 12 + -32 = -20 -16 = -20 + -6x + 8x Combine like terms: -6x + 8x = 2x -16 = -20 + 2x Solving -16 = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -2x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -2x = -20 + 0 -16 + -2x = -20 Add '16' to each side of the equation. -16 + 16 + -2x = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -20 + 16 -2x = -20 + 16 Combine like terms: -20 + 16 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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