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Simplifying 15 + -1(8 + -1x) = 4(2x + -3) + 2 15 + (8 * -1 + -1x * -1) = 4(2x + -3) + 2 15 + (-8 + 1x) = 4(2x + -3) + 2 Combine like terms: 15 + -8 = 7 7 + 1x = 4(2x + -3) + 2 Reorder the terms: 7 + 1x = 4(-3 + 2x) + 2 7 + 1x = (-3 * 4 + 2x * 4) + 2 7 + 1x = (-12 + 8x) + 2 Reorder the terms: 7 + 1x = -12 + 2 + 8x Combine like terms: -12 + 2 = -10 7 + 1x = -10 + 8x Solving 7 + 1x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 1x + -8x = -10 + 8x + -8x Combine like terms: 1x + -8x = -7x 7 + -7x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -7x = -10 + 0 7 + -7x = -10 Add '-7' to each side of the equation. 7 + -7 + -7x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -10 + -7 -7x = -10 + -7 Combine like terms: -10 + -7 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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