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Simplifying 3(-4 + 9) + -3x = 4(x + 5) + -12x Combine like terms: -4 + 9 = 5 3(5) + -3x = 4(x + 5) + -12x Multiply 3 * 5 15 + -3x = 4(x + 5) + -12x Reorder the terms: 15 + -3x = 4(5 + x) + -12x 15 + -3x = (5 * 4 + x * 4) + -12x 15 + -3x = (20 + 4x) + -12x Combine like terms: 4x + -12x = -8x 15 + -3x = 20 + -8x Solving 15 + -3x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -3x + 8x = 20 + -8x + 8x Combine like terms: -3x + 8x = 5x 15 + 5x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 5x = 20 + 0 15 + 5x = 20 Add '-15' to each side of the equation. 15 + -15 + 5x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 20 + -15 5x = 20 + -15 Combine like terms: 20 + -15 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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