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Simplifying 15 + -2x = 8x + 2(4x + -10) Reorder the terms: 15 + -2x = 8x + 2(-10 + 4x) 15 + -2x = 8x + (-10 * 2 + 4x * 2) 15 + -2x = 8x + (-20 + 8x) Reorder the terms: 15 + -2x = -20 + 8x + 8x Combine like terms: 8x + 8x = 16x 15 + -2x = -20 + 16x Solving 15 + -2x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + -2x + -16x = -20 + 16x + -16x Combine like terms: -2x + -16x = -18x 15 + -18x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -18x = -20 + 0 15 + -18x = -20 Add '-15' to each side of the equation. 15 + -15 + -18x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = -20 + -15 -18x = -20 + -15 Combine like terms: -20 + -15 = -35 -18x = -35 Divide each side by '-18'. x = 1.944444444 Simplifying x = 1.944444444
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