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Simplifying 2.5(x + 3) + -7 = 4x + 2 Reorder the terms: 2.5(3 + x) + -7 = 4x + 2 (3 * 2.5 + x * 2.5) + -7 = 4x + 2 (7.5 + 2.5x) + -7 = 4x + 2 Reorder the terms: 7.5 + -7 + 2.5x = 4x + 2 Combine like terms: 7.5 + -7 = 0.5 0.5 + 2.5x = 4x + 2 Reorder the terms: 0.5 + 2.5x = 2 + 4x Solving 0.5 + 2.5x = 2 + 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. 0.5 + 2.5x + -4x = 2 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 0.5 + -1.5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 0.5 + -1.5x = 2 + 0 0.5 + -1.5x = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1.5x = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.5x = 2 + -0.5 -1.5x = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 -1.5x = 1.5 Divide each side by '-1.5'. x = -1 Simplifying x = -1
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