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Simplifying 5 + 2(x + -4) = 3(x + -3) Reorder the terms: 5 + 2(-4 + x) = 3(x + -3) 5 + (-4 * 2 + x * 2) = 3(x + -3) 5 + (-8 + 2x) = 3(x + -3) Combine like terms: 5 + -8 = -3 -3 + 2x = 3(x + -3) Reorder the terms: -3 + 2x = 3(-3 + x) -3 + 2x = (-3 * 3 + x * 3) -3 + 2x = (-9 + 3x) Solving -3 + 2x = -9 + 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. -3 + 2x + -3x = -9 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -9 + 0 -3 + -1x = -9 Add '3' to each side of the equation. -3 + 3 + -1x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -9 + 3 -1x = -9 + 3 Combine like terms: -9 + 3 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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