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Simplifying 15 + -10x + 8 = 7(3x + -1) + 15x Reorder the terms: 15 + 8 + -10x = 7(3x + -1) + 15x Combine like terms: 15 + 8 = 23 23 + -10x = 7(3x + -1) + 15x Reorder the terms: 23 + -10x = 7(-1 + 3x) + 15x 23 + -10x = (-1 * 7 + 3x * 7) + 15x 23 + -10x = (-7 + 21x) + 15x Combine like terms: 21x + 15x = 36x 23 + -10x = -7 + 36x Solving 23 + -10x = -7 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 23 + -10x + -36x = -7 + 36x + -36x Combine like terms: -10x + -36x = -46x 23 + -46x = -7 + 36x + -36x Combine like terms: 36x + -36x = 0 23 + -46x = -7 + 0 23 + -46x = -7 Add '-23' to each side of the equation. 23 + -23 + -46x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -46x = -7 + -23 -46x = -7 + -23 Combine like terms: -7 + -23 = -30 -46x = -30 Divide each side by '-46'. x = 0.652173913 Simplifying x = 0.652173913
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