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Simplifying 4(x + -5) + 2 = -2(x + -3) Reorder the terms: 4(-5 + x) + 2 = -2(x + -3) (-5 * 4 + x * 4) + 2 = -2(x + -3) (-20 + 4x) + 2 = -2(x + -3) Reorder the terms: -20 + 2 + 4x = -2(x + -3) Combine like terms: -20 + 2 = -18 -18 + 4x = -2(x + -3) Reorder the terms: -18 + 4x = -2(-3 + x) -18 + 4x = (-3 * -2 + x * -2) -18 + 4x = (6 + -2x) Solving -18 + 4x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x -18 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 6x = 6 + 0 -18 + 6x = 6 Add '18' to each side of the equation. -18 + 18 + 6x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 6 + 18 6x = 6 + 18 Combine like terms: 6 + 18 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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