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Simplifying 4(x + -5) + -2(x + -1) = 3(2x + -5) + -1 Reorder the terms: 4(-5 + x) + -2(x + -1) = 3(2x + -5) + -1 (-5 * 4 + x * 4) + -2(x + -1) = 3(2x + -5) + -1 (-20 + 4x) + -2(x + -1) = 3(2x + -5) + -1 Reorder the terms: -20 + 4x + -2(-1 + x) = 3(2x + -5) + -1 -20 + 4x + (-1 * -2 + x * -2) = 3(2x + -5) + -1 -20 + 4x + (2 + -2x) = 3(2x + -5) + -1 Reorder the terms: -20 + 2 + 4x + -2x = 3(2x + -5) + -1 Combine like terms: -20 + 2 = -18 -18 + 4x + -2x = 3(2x + -5) + -1 Combine like terms: 4x + -2x = 2x -18 + 2x = 3(2x + -5) + -1 Reorder the terms: -18 + 2x = 3(-5 + 2x) + -1 -18 + 2x = (-5 * 3 + 2x * 3) + -1 -18 + 2x = (-15 + 6x) + -1 Reorder the terms: -18 + 2x = -15 + -1 + 6x Combine like terms: -15 + -1 = -16 -18 + 2x = -16 + 6x Solving -18 + 2x = -16 + 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. -18 + 2x + -6x = -16 + 6x + -6x Combine like terms: 2x + -6x = -4x -18 + -4x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -4x = -16 + 0 -18 + -4x = -16 Add '18' to each side of the equation. -18 + 18 + -4x = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -16 + 18 -4x = -16 + 18 Combine like terms: -16 + 18 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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