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Simplifying 5x + 3(-2x + 10) = -2(-1x + 10) + 26 Reorder the terms: 5x + 3(10 + -2x) = -2(-1x + 10) + 26 5x + (10 * 3 + -2x * 3) = -2(-1x + 10) + 26 5x + (30 + -6x) = -2(-1x + 10) + 26 Reorder the terms: 30 + 5x + -6x = -2(-1x + 10) + 26 Combine like terms: 5x + -6x = -1x 30 + -1x = -2(-1x + 10) + 26 Reorder the terms: 30 + -1x = -2(10 + -1x) + 26 30 + -1x = (10 * -2 + -1x * -2) + 26 30 + -1x = (-20 + 2x) + 26 Reorder the terms: 30 + -1x = -20 + 26 + 2x Combine like terms: -20 + 26 = 6 30 + -1x = 6 + 2x Solving 30 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 30 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -3x = 6 + 0 30 + -3x = 6 Add '-30' to each side of the equation. 30 + -30 + -3x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 6 + -30 -3x = 6 + -30 Combine like terms: 6 + -30 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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