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Simplifying -3(x + -11) + 8(x + -3) = 4(7x + 4) + -4 Reorder the terms: -3(-11 + x) + 8(x + -3) = 4(7x + 4) + -4 (-11 * -3 + x * -3) + 8(x + -3) = 4(7x + 4) + -4 (33 + -3x) + 8(x + -3) = 4(7x + 4) + -4 Reorder the terms: 33 + -3x + 8(-3 + x) = 4(7x + 4) + -4 33 + -3x + (-3 * 8 + x * 8) = 4(7x + 4) + -4 33 + -3x + (-24 + 8x) = 4(7x + 4) + -4 Reorder the terms: 33 + -24 + -3x + 8x = 4(7x + 4) + -4 Combine like terms: 33 + -24 = 9 9 + -3x + 8x = 4(7x + 4) + -4 Combine like terms: -3x + 8x = 5x 9 + 5x = 4(7x + 4) + -4 Reorder the terms: 9 + 5x = 4(4 + 7x) + -4 9 + 5x = (4 * 4 + 7x * 4) + -4 9 + 5x = (16 + 28x) + -4 Reorder the terms: 9 + 5x = 16 + -4 + 28x Combine like terms: 16 + -4 = 12 9 + 5x = 12 + 28x Solving 9 + 5x = 12 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 9 + 5x + -28x = 12 + 28x + -28x Combine like terms: 5x + -28x = -23x 9 + -23x = 12 + 28x + -28x Combine like terms: 28x + -28x = 0 9 + -23x = 12 + 0 9 + -23x = 12 Add '-9' to each side of the equation. 9 + -9 + -23x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -23x = 12 + -9 -23x = 12 + -9 Combine like terms: 12 + -9 = 3 -23x = 3 Divide each side by '-23'. x = -0.1304347826 Simplifying x = -0.1304347826
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