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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 = 6x 23 + -10x = -7 + 6x Solving 23 + -10x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + -10x + -6x = -7 + 6x + -6x Combine like terms: -10x + -6x = -16x 23 + -16x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -16x = -7 + 0 23 + -16x = -7 Add '-23' to each side of the equation. 23 + -23 + -16x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -16x = -7 + -23 -16x = -7 + -23 Combine like terms: -7 + -23 = -30 -16x = -30 Divide each side by '-16'. x = 1.875 Simplifying x = 1.875
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