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Simplifying 3(x + -4) + -16 = 2(x + -8) + 6 Reorder the terms: 3(-4 + x) + -16 = 2(x + -8) + 6 (-4 * 3 + x * 3) + -16 = 2(x + -8) + 6 (-12 + 3x) + -16 = 2(x + -8) + 6 Reorder the terms: -12 + -16 + 3x = 2(x + -8) + 6 Combine like terms: -12 + -16 = -28 -28 + 3x = 2(x + -8) + 6 Reorder the terms: -28 + 3x = 2(-8 + x) + 6 -28 + 3x = (-8 * 2 + x * 2) + 6 -28 + 3x = (-16 + 2x) + 6 Reorder the terms: -28 + 3x = -16 + 6 + 2x Combine like terms: -16 + 6 = -10 -28 + 3x = -10 + 2x Solving -28 + 3x = -10 + 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. -28 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -28 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 1x = -10 + 0 -28 + 1x = -10 Add '28' to each side of the equation. -28 + 28 + 1x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -10 + 28 1x = -10 + 28 Combine like terms: -10 + 28 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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