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Simplifying 8x + -1(6x + -9) + (3x + -2) = 4(7x + -8) Reorder the terms: 8x + -1(-9 + 6x) + (3x + -2) = 4(7x + -8) 8x + (-9 * -1 + 6x * -1) + (3x + -2) = 4(7x + -8) 8x + (9 + -6x) + (3x + -2) = 4(7x + -8) Reorder the terms: 8x + 9 + -6x + (-2 + 3x) = 4(7x + -8) Remove parenthesis around (-2 + 3x) 8x + 9 + -6x + -2 + 3x = 4(7x + -8) Reorder the terms: 9 + -2 + 8x + -6x + 3x = 4(7x + -8) Combine like terms: 9 + -2 = 7 7 + 8x + -6x + 3x = 4(7x + -8) Combine like terms: 8x + -6x = 2x 7 + 2x + 3x = 4(7x + -8) Combine like terms: 2x + 3x = 5x 7 + 5x = 4(7x + -8) Reorder the terms: 7 + 5x = 4(-8 + 7x) 7 + 5x = (-8 * 4 + 7x * 4) 7 + 5x = (-32 + 28x) Solving 7 + 5x = -32 + 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. 7 + 5x + -28x = -32 + 28x + -28x Combine like terms: 5x + -28x = -23x 7 + -23x = -32 + 28x + -28x Combine like terms: 28x + -28x = 0 7 + -23x = -32 + 0 7 + -23x = -32 Add '-7' to each side of the equation. 7 + -7 + -23x = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -23x = -32 + -7 -23x = -32 + -7 Combine like terms: -32 + -7 = -39 -23x = -39 Divide each side by '-23'. x = 1.695652174 Simplifying x = 1.695652174
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