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Simplifying 8(2x + 1) + -3 = 5(6x + -2) + 9x Reorder the terms: 8(1 + 2x) + -3 = 5(6x + -2) + 9x (1 * 8 + 2x * 8) + -3 = 5(6x + -2) + 9x (8 + 16x) + -3 = 5(6x + -2) + 9x Reorder the terms: 8 + -3 + 16x = 5(6x + -2) + 9x Combine like terms: 8 + -3 = 5 5 + 16x = 5(6x + -2) + 9x Reorder the terms: 5 + 16x = 5(-2 + 6x) + 9x 5 + 16x = (-2 * 5 + 6x * 5) + 9x 5 + 16x = (-10 + 30x) + 9x Combine like terms: 30x + 9x = 39x 5 + 16x = -10 + 39x Solving 5 + 16x = -10 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 5 + 16x + -39x = -10 + 39x + -39x Combine like terms: 16x + -39x = -23x 5 + -23x = -10 + 39x + -39x Combine like terms: 39x + -39x = 0 5 + -23x = -10 + 0 5 + -23x = -10 Add '-5' to each side of the equation. 5 + -5 + -23x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -23x = -10 + -5 -23x = -10 + -5 Combine like terms: -10 + -5 = -15 -23x = -15 Divide each side by '-23'. x = 0.652173913 Simplifying x = 0.652173913
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