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Simplifying 4(x + -5) = 3(2x + 3) Reorder the terms: 4(-5 + x) = 3(2x + 3) (-5 * 4 + x * 4) = 3(2x + 3) (-20 + 4x) = 3(2x + 3) Reorder the terms: -20 + 4x = 3(3 + 2x) -20 + 4x = (3 * 3 + 2x * 3) -20 + 4x = (9 + 6x) Solving -20 + 4x = 9 + 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 + 4x + -6x = 9 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = 9 + 0 -20 + -2x = 9 Add '20' to each side of the equation. -20 + 20 + -2x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 9 + 20 -2x = 9 + 20 Combine like terms: 9 + 20 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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