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Simplifying 2(x + -1) + -1(4x + -3) = 3(-2x + -5) + 10 Reorder the terms: 2(-1 + x) + -1(4x + -3) = 3(-2x + -5) + 10 (-1 * 2 + x * 2) + -1(4x + -3) = 3(-2x + -5) + 10 (-2 + 2x) + -1(4x + -3) = 3(-2x + -5) + 10 Reorder the terms: -2 + 2x + -1(-3 + 4x) = 3(-2x + -5) + 10 -2 + 2x + (-3 * -1 + 4x * -1) = 3(-2x + -5) + 10 -2 + 2x + (3 + -4x) = 3(-2x + -5) + 10 Reorder the terms: -2 + 3 + 2x + -4x = 3(-2x + -5) + 10 Combine like terms: -2 + 3 = 1 1 + 2x + -4x = 3(-2x + -5) + 10 Combine like terms: 2x + -4x = -2x 1 + -2x = 3(-2x + -5) + 10 Reorder the terms: 1 + -2x = 3(-5 + -2x) + 10 1 + -2x = (-5 * 3 + -2x * 3) + 10 1 + -2x = (-15 + -6x) + 10 Reorder the terms: 1 + -2x = -15 + 10 + -6x Combine like terms: -15 + 10 = -5 1 + -2x = -5 + -6x Solving 1 + -2x = -5 + -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 + -2x + 6x = -5 + -6x + 6x Combine like terms: -2x + 6x = 4x 1 + 4x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 4x = -5 + 0 1 + 4x = -5 Add '-1' to each side of the equation. 1 + -1 + 4x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -5 + -1 4x = -5 + -1 Combine like terms: -5 + -1 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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