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Simplifying 15 + -10x + 7 = 8(3x + -1) + -15x Reorder the terms: 15 + 7 + -10x = 8(3x + -1) + -15x Combine like terms: 15 + 7 = 22 22 + -10x = 8(3x + -1) + -15x Reorder the terms: 22 + -10x = 8(-1 + 3x) + -15x 22 + -10x = (-1 * 8 + 3x * 8) + -15x 22 + -10x = (-8 + 24x) + -15x Combine like terms: 24x + -15x = 9x 22 + -10x = -8 + 9x Solving 22 + -10x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + -10x + -9x = -8 + 9x + -9x Combine like terms: -10x + -9x = -19x 22 + -19x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -19x = -8 + 0 22 + -19x = -8 Add '-22' to each side of the equation. 22 + -22 + -19x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -19x = -8 + -22 -19x = -8 + -22 Combine like terms: -8 + -22 = -30 -19x = -30 Divide each side by '-19'. x = 1.578947368 Simplifying x = 1.578947368
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