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Simplifying 8(x + -2) + -7(x + -4) = 3x + -11 Reorder the terms: 8(-2 + x) + -7(x + -4) = 3x + -11 (-2 * 8 + x * 8) + -7(x + -4) = 3x + -11 (-16 + 8x) + -7(x + -4) = 3x + -11 Reorder the terms: -16 + 8x + -7(-4 + x) = 3x + -11 -16 + 8x + (-4 * -7 + x * -7) = 3x + -11 -16 + 8x + (28 + -7x) = 3x + -11 Reorder the terms: -16 + 28 + 8x + -7x = 3x + -11 Combine like terms: -16 + 28 = 12 12 + 8x + -7x = 3x + -11 Combine like terms: 8x + -7x = 1x 12 + 1x = 3x + -11 Reorder the terms: 12 + 1x = -11 + 3x Solving 12 + 1x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 1x + -3x = -11 + 3x + -3x Combine like terms: 1x + -3x = -2x 12 + -2x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -2x = -11 + 0 12 + -2x = -11 Add '-12' to each side of the equation. 12 + -12 + -2x = -11 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -11 + -12 -2x = -11 + -12 Combine like terms: -11 + -12 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5
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