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Simplifying 2(x + -3) * 15 = 3(x + -1) Reorder the terms: 2(-3 + x) * 15 = 3(x + -1) Reorder the terms for easier multiplication: 2 * 15(-3 + x) = 3(x + -1) Multiply 2 * 15 30(-3 + x) = 3(x + -1) (-3 * 30 + x * 30) = 3(x + -1) (-90 + 30x) = 3(x + -1) Reorder the terms: -90 + 30x = 3(-1 + x) -90 + 30x = (-1 * 3 + x * 3) -90 + 30x = (-3 + 3x) Solving -90 + 30x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -90 + 30x + -3x = -3 + 3x + -3x Combine like terms: 30x + -3x = 27x -90 + 27x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -90 + 27x = -3 + 0 -90 + 27x = -3 Add '90' to each side of the equation. -90 + 90 + 27x = -3 + 90 Combine like terms: -90 + 90 = 0 0 + 27x = -3 + 90 27x = -3 + 90 Combine like terms: -3 + 90 = 87 27x = 87 Divide each side by '27'. x = 3.222222222 Simplifying x = 3.222222222
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