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Simplifying 3(x + -4) + 15 = 12 + -4(x + -3) Reorder the terms: 3(-4 + x) + 15 = 12 + -4(x + -3) (-4 * 3 + x * 3) + 15 = 12 + -4(x + -3) (-12 + 3x) + 15 = 12 + -4(x + -3) Reorder the terms: -12 + 15 + 3x = 12 + -4(x + -3) Combine like terms: -12 + 15 = 3 3 + 3x = 12 + -4(x + -3) Reorder the terms: 3 + 3x = 12 + -4(-3 + x) 3 + 3x = 12 + (-3 * -4 + x * -4) 3 + 3x = 12 + (12 + -4x) Combine like terms: 12 + 12 = 24 3 + 3x = 24 + -4x Solving 3 + 3x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 3x + 4x = 24 + -4x + 4x Combine like terms: 3x + 4x = 7x 3 + 7x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 7x = 24 + 0 3 + 7x = 24 Add '-3' to each side of the equation. 3 + -3 + 7x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 24 + -3 7x = 24 + -3 Combine like terms: 24 + -3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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