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Simplifying 4(x + -2) + 3(x + 3) = 15 Reorder the terms: 4(-2 + x) + 3(x + 3) = 15 (-2 * 4 + x * 4) + 3(x + 3) = 15 (-8 + 4x) + 3(x + 3) = 15 Reorder the terms: -8 + 4x + 3(3 + x) = 15 -8 + 4x + (3 * 3 + x * 3) = 15 -8 + 4x + (9 + 3x) = 15 Reorder the terms: -8 + 9 + 4x + 3x = 15 Combine like terms: -8 + 9 = 1 1 + 4x + 3x = 15 Combine like terms: 4x + 3x = 7x 1 + 7x = 15 Solving 1 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 15 + -1 7x = 15 + -1 Combine like terms: 15 + -1 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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