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Simplifying 7x + -3x + 4 = 2x + -1(15 + -8x) Reorder the terms: 4 + 7x + -3x = 2x + -1(15 + -8x) Combine like terms: 7x + -3x = 4x 4 + 4x = 2x + -1(15 + -8x) 4 + 4x = 2x + (15 * -1 + -8x * -1) 4 + 4x = 2x + (-15 + 8x) Reorder the terms: 4 + 4x = -15 + 2x + 8x Combine like terms: 2x + 8x = 10x 4 + 4x = -15 + 10x Solving 4 + 4x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 4x + -10x = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x 4 + -6x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -6x = -15 + 0 4 + -6x = -15 Add '-4' to each side of the equation. 4 + -4 + -6x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -15 + -4 -6x = -15 + -4 Combine like terms: -15 + -4 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667
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