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Simplifying 5(3x + -1) = 26x + -10(x + 2) Reorder the terms: 5(-1 + 3x) = 26x + -10(x + 2) (-1 * 5 + 3x * 5) = 26x + -10(x + 2) (-5 + 15x) = 26x + -10(x + 2) Reorder the terms: -5 + 15x = 26x + -10(2 + x) -5 + 15x = 26x + (2 * -10 + x * -10) -5 + 15x = 26x + (-20 + -10x) Reorder the terms: -5 + 15x = -20 + 26x + -10x Combine like terms: 26x + -10x = 16x -5 + 15x = -20 + 16x Solving -5 + 15x = -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. -5 + 15x + -16x = -20 + 16x + -16x Combine like terms: 15x + -16x = -1x -5 + -1x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + -1x = -20 + 0 -5 + -1x = -20 Add '5' to each side of the equation. -5 + 5 + -1x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -20 + 5 -1x = -20 + 5 Combine like terms: -20 + 5 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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