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Simplifying 15x = 0.5(51x + -15x) + -29 Combine like terms: 51x + -15x = 36x 15x = 0.5(36x) + -29 Remove parenthesis around (36x) 15x = 0.5 * 36x + -29 Multiply 0.5 * 36 15x = 18x + -29 Reorder the terms: 15x = -29 + 18x Solving 15x = -29 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15x + -18x = -29 + 18x + -18x Combine like terms: 15x + -18x = -3x -3x = -29 + 18x + -18x Combine like terms: 18x + -18x = 0 -3x = -29 + 0 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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