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Simplifying 18 + -15(3x + 2) + -6(2x + -1) = 4(9 + -12x) + 3 Reorder the terms: 18 + -15(2 + 3x) + -6(2x + -1) = 4(9 + -12x) + 3 18 + (2 * -15 + 3x * -15) + -6(2x + -1) = 4(9 + -12x) + 3 18 + (-30 + -45x) + -6(2x + -1) = 4(9 + -12x) + 3 Reorder the terms: 18 + -30 + -45x + -6(-1 + 2x) = 4(9 + -12x) + 3 18 + -30 + -45x + (-1 * -6 + 2x * -6) = 4(9 + -12x) + 3 18 + -30 + -45x + (6 + -12x) = 4(9 + -12x) + 3 Reorder the terms: 18 + -30 + 6 + -45x + -12x = 4(9 + -12x) + 3 Combine like terms: 18 + -30 = -12 -12 + 6 + -45x + -12x = 4(9 + -12x) + 3 Combine like terms: -12 + 6 = -6 -6 + -45x + -12x = 4(9 + -12x) + 3 Combine like terms: -45x + -12x = -57x -6 + -57x = 4(9 + -12x) + 3 -6 + -57x = (9 * 4 + -12x * 4) + 3 -6 + -57x = (36 + -48x) + 3 Reorder the terms: -6 + -57x = 36 + 3 + -48x Combine like terms: 36 + 3 = 39 -6 + -57x = 39 + -48x Solving -6 + -57x = 39 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -6 + -57x + 48x = 39 + -48x + 48x Combine like terms: -57x + 48x = -9x -6 + -9x = 39 + -48x + 48x Combine like terms: -48x + 48x = 0 -6 + -9x = 39 + 0 -6 + -9x = 39 Add '6' to each side of the equation. -6 + 6 + -9x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 39 + 6 -9x = 39 + 6 Combine like terms: 39 + 6 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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