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Simplifying (x + -2) * 3 + 30x = (7x + 15) * 5 + -7 * 15 Reorder the terms: (-2 + x) * 3 + 30x = (7x + 15) * 5 + -7 * 15 Reorder the terms for easier multiplication: 3(-2 + x) + 30x = (7x + 15) * 5 + -7 * 15 (-2 * 3 + x * 3) + 30x = (7x + 15) * 5 + -7 * 15 (-6 + 3x) + 30x = (7x + 15) * 5 + -7 * 15 Combine like terms: 3x + 30x = 33x -6 + 33x = (7x + 15) * 5 + -7 * 15 Reorder the terms: -6 + 33x = (15 + 7x) * 5 + -7 * 15 Reorder the terms for easier multiplication: -6 + 33x = 5(15 + 7x) + -7 * 15 -6 + 33x = (15 * 5 + 7x * 5) + -7 * 15 -6 + 33x = (75 + 35x) + -7 * 15 Multiply -7 * 15 -6 + 33x = 75 + 35x + -105 Reorder the terms: -6 + 33x = 75 + -105 + 35x Combine like terms: 75 + -105 = -30 -6 + 33x = -30 + 35x Solving -6 + 33x = -30 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -6 + 33x + -35x = -30 + 35x + -35x Combine like terms: 33x + -35x = -2x -6 + -2x = -30 + 35x + -35x Combine like terms: 35x + -35x = 0 -6 + -2x = -30 + 0 -6 + -2x = -30 Add '6' to each side of the equation. -6 + 6 + -2x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -30 + 6 -2x = -30 + 6 Combine like terms: -30 + 6 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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