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Simplifying 5 + 2x = 2(2x + 2) + -3(x + -4) Reorder the terms: 5 + 2x = 2(2 + 2x) + -3(x + -4) 5 + 2x = (2 * 2 + 2x * 2) + -3(x + -4) 5 + 2x = (4 + 4x) + -3(x + -4) Reorder the terms: 5 + 2x = 4 + 4x + -3(-4 + x) 5 + 2x = 4 + 4x + (-4 * -3 + x * -3) 5 + 2x = 4 + 4x + (12 + -3x) Reorder the terms: 5 + 2x = 4 + 12 + 4x + -3x Combine like terms: 4 + 12 = 16 5 + 2x = 16 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + 2x = 16 + 1x Solving 5 + 2x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 16 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 16 + 0 5 + 1x = 16 Add '-5' to each side of the equation. 5 + -5 + 1x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 16 + -5 1x = 16 + -5 Combine like terms: 16 + -5 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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