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Simplifying 5x + (3x + -15) * 2 = (14 + -1x) * 15 + (30 + x) Reorder the terms: 5x + (-15 + 3x) * 2 = (14 + -1x) * 15 + (30 + x) Reorder the terms for easier multiplication: 5x + 2(-15 + 3x) = (14 + -1x) * 15 + (30 + x) 5x + (-15 * 2 + 3x * 2) = (14 + -1x) * 15 + (30 + x) 5x + (-30 + 6x) = (14 + -1x) * 15 + (30 + x) Reorder the terms: -30 + 5x + 6x = (14 + -1x) * 15 + (30 + x) Combine like terms: 5x + 6x = 11x -30 + 11x = (14 + -1x) * 15 + (30 + x) Reorder the terms for easier multiplication: -30 + 11x = 15(14 + -1x) + (30 + x) -30 + 11x = (14 * 15 + -1x * 15) + (30 + x) -30 + 11x = (210 + -15x) + (30 + x) Remove parenthesis around (30 + x) -30 + 11x = 210 + -15x + 30 + x Reorder the terms: -30 + 11x = 210 + 30 + -15x + x Combine like terms: 210 + 30 = 240 -30 + 11x = 240 + -15x + x Combine like terms: -15x + x = -14x -30 + 11x = 240 + -14x Solving -30 + 11x = 240 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -30 + 11x + 14x = 240 + -14x + 14x Combine like terms: 11x + 14x = 25x -30 + 25x = 240 + -14x + 14x Combine like terms: -14x + 14x = 0 -30 + 25x = 240 + 0 -30 + 25x = 240 Add '30' to each side of the equation. -30 + 30 + 25x = 240 + 30 Combine like terms: -30 + 30 = 0 0 + 25x = 240 + 30 25x = 240 + 30 Combine like terms: 240 + 30 = 270 25x = 270 Divide each side by '25'. x = 10.8 Simplifying x = 10.8
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