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Simplifying 2(x + 2) + -4(x + -3) = 5x + 9 Reorder the terms: 2(2 + x) + -4(x + -3) = 5x + 9 (2 * 2 + x * 2) + -4(x + -3) = 5x + 9 (4 + 2x) + -4(x + -3) = 5x + 9 Reorder the terms: 4 + 2x + -4(-3 + x) = 5x + 9 4 + 2x + (-3 * -4 + x * -4) = 5x + 9 4 + 2x + (12 + -4x) = 5x + 9 Reorder the terms: 4 + 12 + 2x + -4x = 5x + 9 Combine like terms: 4 + 12 = 16 16 + 2x + -4x = 5x + 9 Combine like terms: 2x + -4x = -2x 16 + -2x = 5x + 9 Reorder the terms: 16 + -2x = 9 + 5x Solving 16 + -2x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -2x + -5x = 9 + 5x + -5x Combine like terms: -2x + -5x = -7x 16 + -7x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -7x = 9 + 0 16 + -7x = 9 Add '-16' to each side of the equation. 16 + -16 + -7x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 9 + -16 -7x = 9 + -16 Combine like terms: 9 + -16 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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