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Simplifying 3(2x + -5) + -1(5x + 3) = 4(-1x + -5) Reorder the terms: 3(-5 + 2x) + -1(5x + 3) = 4(-1x + -5) (-5 * 3 + 2x * 3) + -1(5x + 3) = 4(-1x + -5) (-15 + 6x) + -1(5x + 3) = 4(-1x + -5) Reorder the terms: -15 + 6x + -1(3 + 5x) = 4(-1x + -5) -15 + 6x + (3 * -1 + 5x * -1) = 4(-1x + -5) -15 + 6x + (-3 + -5x) = 4(-1x + -5) Reorder the terms: -15 + -3 + 6x + -5x = 4(-1x + -5) Combine like terms: -15 + -3 = -18 -18 + 6x + -5x = 4(-1x + -5) Combine like terms: 6x + -5x = 1x -18 + 1x = 4(-1x + -5) Reorder the terms: -18 + 1x = 4(-5 + -1x) -18 + 1x = (-5 * 4 + -1x * 4) -18 + 1x = (-20 + -4x) Solving -18 + 1x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18 + 1x + 4x = -20 + -4x + 4x Combine like terms: 1x + 4x = 5x -18 + 5x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 5x = -20 + 0 -18 + 5x = -20 Add '18' to each side of the equation. -18 + 18 + 5x = -20 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -20 + 18 5x = -20 + 18 Combine like terms: -20 + 18 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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