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Simplifying 2(3x + 4) + -5x = 9 + 8(7 + 6x) Reorder the terms: 2(4 + 3x) + -5x = 9 + 8(7 + 6x) (4 * 2 + 3x * 2) + -5x = 9 + 8(7 + 6x) (8 + 6x) + -5x = 9 + 8(7 + 6x) Combine like terms: 6x + -5x = 1x 8 + 1x = 9 + 8(7 + 6x) 8 + 1x = 9 + (7 * 8 + 6x * 8) 8 + 1x = 9 + (56 + 48x) Combine like terms: 9 + 56 = 65 8 + 1x = 65 + 48x Solving 8 + 1x = 65 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 8 + 1x + -48x = 65 + 48x + -48x Combine like terms: 1x + -48x = -47x 8 + -47x = 65 + 48x + -48x Combine like terms: 48x + -48x = 0 8 + -47x = 65 + 0 8 + -47x = 65 Add '-8' to each side of the equation. 8 + -8 + -47x = 65 + -8 Combine like terms: 8 + -8 = 0 0 + -47x = 65 + -8 -47x = 65 + -8 Combine like terms: 65 + -8 = 57 -47x = 57 Divide each side by '-47'. x = -1.212765957 Simplifying x = -1.212765957
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