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Simplifying 3(2x + -3) + 4(5x + 1) = 2(-2x + 1) + -1(x + 2) Reorder the terms: 3(-3 + 2x) + 4(5x + 1) = 2(-2x + 1) + -1(x + 2) (-3 * 3 + 2x * 3) + 4(5x + 1) = 2(-2x + 1) + -1(x + 2) (-9 + 6x) + 4(5x + 1) = 2(-2x + 1) + -1(x + 2) Reorder the terms: -9 + 6x + 4(1 + 5x) = 2(-2x + 1) + -1(x + 2) -9 + 6x + (1 * 4 + 5x * 4) = 2(-2x + 1) + -1(x + 2) -9 + 6x + (4 + 20x) = 2(-2x + 1) + -1(x + 2) Reorder the terms: -9 + 4 + 6x + 20x = 2(-2x + 1) + -1(x + 2) Combine like terms: -9 + 4 = -5 -5 + 6x + 20x = 2(-2x + 1) + -1(x + 2) Combine like terms: 6x + 20x = 26x -5 + 26x = 2(-2x + 1) + -1(x + 2) Reorder the terms: -5 + 26x = 2(1 + -2x) + -1(x + 2) -5 + 26x = (1 * 2 + -2x * 2) + -1(x + 2) -5 + 26x = (2 + -4x) + -1(x + 2) Reorder the terms: -5 + 26x = 2 + -4x + -1(2 + x) -5 + 26x = 2 + -4x + (2 * -1 + x * -1) -5 + 26x = 2 + -4x + (-2 + -1x) Reorder the terms: -5 + 26x = 2 + -2 + -4x + -1x Combine like terms: 2 + -2 = 0 -5 + 26x = 0 + -4x + -1x -5 + 26x = -4x + -1x Combine like terms: -4x + -1x = -5x -5 + 26x = -5x Solving -5 + 26x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 26x + 5x = -5x + 5x Combine like terms: 26x + 5x = 31x -5 + 31x = -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 31x = 0 Add '5' to each side of the equation. -5 + 5 + 31x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 31x = 0 + 5 31x = 0 + 5 Combine like terms: 0 + 5 = 5 31x = 5 Divide each side by '31'. x = 0.1612903226 Simplifying x = 0.1612903226
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