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Simplifying 0.2(5x + -20) + 7 = 5(3x + 1) Reorder the terms: 0.2(-20 + 5x) + 7 = 5(3x + 1) (-20 * 0.2 + 5x * 0.2) + 7 = 5(3x + 1) (-4 + 1x) + 7 = 5(3x + 1) Reorder the terms: -4 + 7 + 1x = 5(3x + 1) Combine like terms: -4 + 7 = 3 3 + 1x = 5(3x + 1) Reorder the terms: 3 + 1x = 5(1 + 3x) 3 + 1x = (1 * 5 + 3x * 5) 3 + 1x = (5 + 15x) Solving 3 + 1x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 3 + 1x + -15x = 5 + 15x + -15x Combine like terms: 1x + -15x = -14x 3 + -14x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + -14x = 5 + 0 3 + -14x = 5 Add '-3' to each side of the equation. 3 + -3 + -14x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 5 + -3 -14x = 5 + -3 Combine like terms: 5 + -3 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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