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Simplifying 4(x + 5) = (3x + -2) + -2x + 2 Reorder the terms: 4(5 + x) = (3x + -2) + -2x + 2 (5 * 4 + x * 4) = (3x + -2) + -2x + 2 (20 + 4x) = (3x + -2) + -2x + 2 Reorder the terms: 20 + 4x = (-2 + 3x) + -2x + 2 Remove parenthesis around (-2 + 3x) 20 + 4x = -2 + 3x + -2x + 2 Reorder the terms: 20 + 4x = -2 + 2 + 3x + -2x Combine like terms: -2 + 2 = 0 20 + 4x = 0 + 3x + -2x 20 + 4x = 3x + -2x Combine like terms: 3x + -2x = 1x 20 + 4x = 1x Solving 20 + 4x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 4x + -1x = 1x + -1x Combine like terms: 4x + -1x = 3x 20 + 3x = 1x + -1x Combine like terms: 1x + -1x = 0 20 + 3x = 0 Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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