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Simplifying 6(5x + -8) = 7(x + 8) + 126 Reorder the terms: 6(-8 + 5x) = 7(x + 8) + 126 (-8 * 6 + 5x * 6) = 7(x + 8) + 126 (-48 + 30x) = 7(x + 8) + 126 Reorder the terms: -48 + 30x = 7(8 + x) + 126 -48 + 30x = (8 * 7 + x * 7) + 126 -48 + 30x = (56 + 7x) + 126 Reorder the terms: -48 + 30x = 56 + 126 + 7x Combine like terms: 56 + 126 = 182 -48 + 30x = 182 + 7x Solving -48 + 30x = 182 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -48 + 30x + -7x = 182 + 7x + -7x Combine like terms: 30x + -7x = 23x -48 + 23x = 182 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 23x = 182 + 0 -48 + 23x = 182 Add '48' to each side of the equation. -48 + 48 + 23x = 182 + 48 Combine like terms: -48 + 48 = 0 0 + 23x = 182 + 48 23x = 182 + 48 Combine like terms: 182 + 48 = 230 23x = 230 Divide each side by '23'. x = 10 Simplifying x = 10
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