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Simplifying 3(5x + -2) + 2(18 + -5x) + -2(2x + 1) = -1 Reorder the terms: 3(-2 + 5x) + 2(18 + -5x) + -2(2x + 1) = -1 (-2 * 3 + 5x * 3) + 2(18 + -5x) + -2(2x + 1) = -1 (-6 + 15x) + 2(18 + -5x) + -2(2x + 1) = -1 -6 + 15x + (18 * 2 + -5x * 2) + -2(2x + 1) = -1 -6 + 15x + (36 + -10x) + -2(2x + 1) = -1 Reorder the terms: -6 + 15x + 36 + -10x + -2(1 + 2x) = -1 -6 + 15x + 36 + -10x + (1 * -2 + 2x * -2) = -1 -6 + 15x + 36 + -10x + (-2 + -4x) = -1 Reorder the terms: -6 + 36 + -2 + 15x + -10x + -4x = -1 Combine like terms: -6 + 36 = 30 30 + -2 + 15x + -10x + -4x = -1 Combine like terms: 30 + -2 = 28 28 + 15x + -10x + -4x = -1 Combine like terms: 15x + -10x = 5x 28 + 5x + -4x = -1 Combine like terms: 5x + -4x = 1x 28 + 1x = -1 Solving 28 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1x = -1 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -1 + -28 1x = -1 + -28 Combine like terms: -1 + -28 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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