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Simplifying 10(2.5) + -4(2.5 + 2) + 3x = 5(3 + -1x) Multiply 10 * 2.5 25 + -4(2.5 + 2) + 3x = 5(3 + -1x) Combine like terms: 2.5 + 2 = 4.5 25 + -4(4.5) + 3x = 5(3 + -1x) Multiply -4 * 4.5 25 + -18 + 3x = 5(3 + -1x) Combine like terms: 25 + -18 = 7 7 + 3x = 5(3 + -1x) 7 + 3x = (3 * 5 + -1x * 5) 7 + 3x = (15 + -5x) Solving 7 + 3x = 15 + -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. 7 + 3x + 5x = 15 + -5x + 5x Combine like terms: 3x + 5x = 8x 7 + 8x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 8x = 15 + 0 7 + 8x = 15 Add '-7' to each side of the equation. 7 + -7 + 8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 15 + -7 8x = 15 + -7 Combine like terms: 15 + -7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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