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Simplifying 2(5x + -3) + -1(2x + -4) = 5(6x + 1) Reorder the terms: 2(-3 + 5x) + -1(2x + -4) = 5(6x + 1) (-3 * 2 + 5x * 2) + -1(2x + -4) = 5(6x + 1) (-6 + 10x) + -1(2x + -4) = 5(6x + 1) Reorder the terms: -6 + 10x + -1(-4 + 2x) = 5(6x + 1) -6 + 10x + (-4 * -1 + 2x * -1) = 5(6x + 1) -6 + 10x + (4 + -2x) = 5(6x + 1) Reorder the terms: -6 + 4 + 10x + -2x = 5(6x + 1) Combine like terms: -6 + 4 = -2 -2 + 10x + -2x = 5(6x + 1) Combine like terms: 10x + -2x = 8x -2 + 8x = 5(6x + 1) Reorder the terms: -2 + 8x = 5(1 + 6x) -2 + 8x = (1 * 5 + 6x * 5) -2 + 8x = (5 + 30x) Solving -2 + 8x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -2 + 8x + -30x = 5 + 30x + -30x Combine like terms: 8x + -30x = -22x -2 + -22x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 -2 + -22x = 5 + 0 -2 + -22x = 5 Add '2' to each side of the equation. -2 + 2 + -22x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -22x = 5 + 2 -22x = 5 + 2 Combine like terms: 5 + 2 = 7 -22x = 7 Divide each side by '-22'. x = -0.3181818182 Simplifying x = -0.3181818182
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