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Simplifying 5(2 + -3x) * 15 = -1(x + 7) Reorder the terms for easier multiplication: 5 * 15(2 + -3x) = -1(x + 7) Multiply 5 * 15 75(2 + -3x) = -1(x + 7) (2 * 75 + -3x * 75) = -1(x + 7) (150 + -225x) = -1(x + 7) Reorder the terms: 150 + -225x = -1(7 + x) 150 + -225x = (7 * -1 + x * -1) 150 + -225x = (-7 + -1x) Solving 150 + -225x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 150 + -225x + x = -7 + -1x + x Combine like terms: -225x + x = -224x 150 + -224x = -7 + -1x + x Combine like terms: -1x + x = 0 150 + -224x = -7 + 0 150 + -224x = -7 Add '-150' to each side of the equation. 150 + -150 + -224x = -7 + -150 Combine like terms: 150 + -150 = 0 0 + -224x = -7 + -150 -224x = -7 + -150 Combine like terms: -7 + -150 = -157 -224x = -157 Divide each side by '-224'. x = 0.7008928571 Simplifying x = 0.7008928571
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