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Simplifying 5(x + -4) = 6(3 + x) Reorder the terms: 5(-4 + x) = 6(3 + x) (-4 * 5 + x * 5) = 6(3 + x) (-20 + 5x) = 6(3 + x) -20 + 5x = (3 * 6 + x * 6) -20 + 5x = (18 + 6x) Solving -20 + 5x = 18 + 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. -20 + 5x + -6x = 18 + 6x + -6x Combine like terms: 5x + -6x = -1x -20 + -1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -1x = 18 + 0 -20 + -1x = 18 Add '20' to each side of the equation. -20 + 20 + -1x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 18 + 20 -1x = 18 + 20 Combine like terms: 18 + 20 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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