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Simplifying 2(x + -8) + 8(x + -3) = x + 12 Reorder the terms: 2(-8 + x) + 8(x + -3) = x + 12 (-8 * 2 + x * 2) + 8(x + -3) = x + 12 (-16 + 2x) + 8(x + -3) = x + 12 Reorder the terms: -16 + 2x + 8(-3 + x) = x + 12 -16 + 2x + (-3 * 8 + x * 8) = x + 12 -16 + 2x + (-24 + 8x) = x + 12 Reorder the terms: -16 + -24 + 2x + 8x = x + 12 Combine like terms: -16 + -24 = -40 -40 + 2x + 8x = x + 12 Combine like terms: 2x + 8x = 10x -40 + 10x = x + 12 Reorder the terms: -40 + 10x = 12 + x Solving -40 + 10x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -40 + 10x + -1x = 12 + x + -1x Combine like terms: 10x + -1x = 9x -40 + 9x = 12 + x + -1x Combine like terms: x + -1x = 0 -40 + 9x = 12 + 0 -40 + 9x = 12 Add '40' to each side of the equation. -40 + 40 + 9x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 12 + 40 9x = 12 + 40 Combine like terms: 12 + 40 = 52 9x = 52 Divide each side by '9'. x = 5.777777778 Simplifying x = 5.777777778
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