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Simplifying 4(x + 2.5) = 3(7 + x) Reorder the terms: 4(2.5 + x) = 3(7 + x) (2.5 * 4 + x * 4) = 3(7 + x) (10 + 4x) = 3(7 + x) 10 + 4x = (7 * 3 + x * 3) 10 + 4x = (21 + 3x) Solving 10 + 4x = 21 + 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. 10 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 21 + 0 10 + 1x = 21 Add '-10' to each side of the equation. 10 + -10 + 1x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 21 + -10 1x = 21 + -10 Combine like terms: 21 + -10 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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