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Simplifying -3(2.5x + -1) + 20.2 = -35.475 + -5x Reorder the terms: -3(-1 + 2.5x) + 20.2 = -35.475 + -5x (-1 * -3 + 2.5x * -3) + 20.2 = -35.475 + -5x (3 + -7.5x) + 20.2 = -35.475 + -5x Reorder the terms: 3 + 20.2 + -7.5x = -35.475 + -5x Combine like terms: 3 + 20.2 = 23.2 23.2 + -7.5x = -35.475 + -5x Solving 23.2 + -7.5x = -35.475 + -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. 23.2 + -7.5x + 5x = -35.475 + -5x + 5x Combine like terms: -7.5x + 5x = -2.5x 23.2 + -2.5x = -35.475 + -5x + 5x Combine like terms: -5x + 5x = 0 23.2 + -2.5x = -35.475 + 0 23.2 + -2.5x = -35.475 Add '-23.2' to each side of the equation. 23.2 + -23.2 + -2.5x = -35.475 + -23.2 Combine like terms: 23.2 + -23.2 = 0.0 0.0 + -2.5x = -35.475 + -23.2 -2.5x = -35.475 + -23.2 Combine like terms: -35.475 + -23.2 = -58.675 -2.5x = -58.675 Divide each side by '-2.5'. x = 23.47 Simplifying x = 23.47
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