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Simplifying 5(x + 2) + -2(x + 2) = 4(x + 3) Reorder the terms: 5(2 + x) + -2(x + 2) = 4(x + 3) (2 * 5 + x * 5) + -2(x + 2) = 4(x + 3) (10 + 5x) + -2(x + 2) = 4(x + 3) Reorder the terms: 10 + 5x + -2(2 + x) = 4(x + 3) 10 + 5x + (2 * -2 + x * -2) = 4(x + 3) 10 + 5x + (-4 + -2x) = 4(x + 3) Reorder the terms: 10 + -4 + 5x + -2x = 4(x + 3) Combine like terms: 10 + -4 = 6 6 + 5x + -2x = 4(x + 3) Combine like terms: 5x + -2x = 3x 6 + 3x = 4(x + 3) Reorder the terms: 6 + 3x = 4(3 + x) 6 + 3x = (3 * 4 + x * 4) 6 + 3x = (12 + 4x) Solving 6 + 3x = 12 + 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. 6 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = 12 + 0 6 + -1x = 12 Add '-6' to each side of the equation. 6 + -6 + -1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 12 + -6 -1x = 12 + -6 Combine like terms: 12 + -6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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