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Simplifying 8(x + -2) = 3(x + 5) + -2(2x + 2) Reorder the terms: 8(-2 + x) = 3(x + 5) + -2(2x + 2) (-2 * 8 + x * 8) = 3(x + 5) + -2(2x + 2) (-16 + 8x) = 3(x + 5) + -2(2x + 2) Reorder the terms: -16 + 8x = 3(5 + x) + -2(2x + 2) -16 + 8x = (5 * 3 + x * 3) + -2(2x + 2) -16 + 8x = (15 + 3x) + -2(2x + 2) Reorder the terms: -16 + 8x = 15 + 3x + -2(2 + 2x) -16 + 8x = 15 + 3x + (2 * -2 + 2x * -2) -16 + 8x = 15 + 3x + (-4 + -4x) Reorder the terms: -16 + 8x = 15 + -4 + 3x + -4x Combine like terms: 15 + -4 = 11 -16 + 8x = 11 + 3x + -4x Combine like terms: 3x + -4x = -1x -16 + 8x = 11 + -1x Solving -16 + 8x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + 8x + x = 11 + -1x + x Combine like terms: 8x + x = 9x -16 + 9x = 11 + -1x + x Combine like terms: -1x + x = 0 -16 + 9x = 11 + 0 -16 + 9x = 11 Add '16' to each side of the equation. -16 + 16 + 9x = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 11 + 16 9x = 11 + 16 Combine like terms: 11 + 16 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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