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Simplifying 4(x + 3) + -12 = -3(x + -4) + 44 Reorder the terms: 4(3 + x) + -12 = -3(x + -4) + 44 (3 * 4 + x * 4) + -12 = -3(x + -4) + 44 (12 + 4x) + -12 = -3(x + -4) + 44 Reorder the terms: 12 + -12 + 4x = -3(x + -4) + 44 Combine like terms: 12 + -12 = 0 0 + 4x = -3(x + -4) + 44 4x = -3(x + -4) + 44 Reorder the terms: 4x = -3(-4 + x) + 44 4x = (-4 * -3 + x * -3) + 44 4x = (12 + -3x) + 44 Reorder the terms: 4x = 12 + 44 + -3x Combine like terms: 12 + 44 = 56 4x = 56 + -3x Solving 4x = 56 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4x + 3x = 56 + -3x + 3x Combine like terms: 4x + 3x = 7x 7x = 56 + -3x + 3x Combine like terms: -3x + 3x = 0 7x = 56 + 0 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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