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Simplifying 3(x + -2) + -5(2x + -1) = 2(3x + 4) + -10 Reorder the terms: 3(-2 + x) + -5(2x + -1) = 2(3x + 4) + -10 (-2 * 3 + x * 3) + -5(2x + -1) = 2(3x + 4) + -10 (-6 + 3x) + -5(2x + -1) = 2(3x + 4) + -10 Reorder the terms: -6 + 3x + -5(-1 + 2x) = 2(3x + 4) + -10 -6 + 3x + (-1 * -5 + 2x * -5) = 2(3x + 4) + -10 -6 + 3x + (5 + -10x) = 2(3x + 4) + -10 Reorder the terms: -6 + 5 + 3x + -10x = 2(3x + 4) + -10 Combine like terms: -6 + 5 = -1 -1 + 3x + -10x = 2(3x + 4) + -10 Combine like terms: 3x + -10x = -7x -1 + -7x = 2(3x + 4) + -10 Reorder the terms: -1 + -7x = 2(4 + 3x) + -10 -1 + -7x = (4 * 2 + 3x * 2) + -10 -1 + -7x = (8 + 6x) + -10 Reorder the terms: -1 + -7x = 8 + -10 + 6x Combine like terms: 8 + -10 = -2 -1 + -7x = -2 + 6x Solving -1 + -7x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -7x + -6x = -2 + 6x + -6x Combine like terms: -7x + -6x = -13x -1 + -13x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -13x = -2 + 0 -1 + -13x = -2 Add '1' to each side of the equation. -1 + 1 + -13x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = -2 + 1 -13x = -2 + 1 Combine like terms: -2 + 1 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692
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