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Simplifying 3(5 + -2x) + 1 = 2(x + 2) + -5x (5 * 3 + -2x * 3) + 1 = 2(x + 2) + -5x (15 + -6x) + 1 = 2(x + 2) + -5x Reorder the terms: 15 + 1 + -6x = 2(x + 2) + -5x Combine like terms: 15 + 1 = 16 16 + -6x = 2(x + 2) + -5x Reorder the terms: 16 + -6x = 2(2 + x) + -5x 16 + -6x = (2 * 2 + x * 2) + -5x 16 + -6x = (4 + 2x) + -5x Combine like terms: 2x + -5x = -3x 16 + -6x = 4 + -3x Solving 16 + -6x = 4 + -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. 16 + -6x + 3x = 4 + -3x + 3x Combine like terms: -6x + 3x = -3x 16 + -3x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + -3x = 4 + 0 16 + -3x = 4 Add '-16' to each side of the equation. 16 + -16 + -3x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 4 + -16 -3x = 4 + -16 Combine like terms: 4 + -16 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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