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Simplifying 4(3x + -5) + -12 = 11(x + 3) Reorder the terms: 4(-5 + 3x) + -12 = 11(x + 3) (-5 * 4 + 3x * 4) + -12 = 11(x + 3) (-20 + 12x) + -12 = 11(x + 3) Reorder the terms: -20 + -12 + 12x = 11(x + 3) Combine like terms: -20 + -12 = -32 -32 + 12x = 11(x + 3) Reorder the terms: -32 + 12x = 11(3 + x) -32 + 12x = (3 * 11 + x * 11) -32 + 12x = (33 + 11x) Solving -32 + 12x = 33 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -32 + 12x + -11x = 33 + 11x + -11x Combine like terms: 12x + -11x = 1x -32 + 1x = 33 + 11x + -11x Combine like terms: 11x + -11x = 0 -32 + 1x = 33 + 0 -32 + 1x = 33 Add '32' to each side of the equation. -32 + 32 + 1x = 33 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 33 + 32 1x = 33 + 32 Combine like terms: 33 + 32 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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