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Simplifying 2x + 5(7 + -2x) = 2(1 + -3x) 2x + (7 * 5 + -2x * 5) = 2(1 + -3x) 2x + (35 + -10x) = 2(1 + -3x) Reorder the terms: 35 + 2x + -10x = 2(1 + -3x) Combine like terms: 2x + -10x = -8x 35 + -8x = 2(1 + -3x) 35 + -8x = (1 * 2 + -3x * 2) 35 + -8x = (2 + -6x) Solving 35 + -8x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 35 + -8x + 6x = 2 + -6x + 6x Combine like terms: -8x + 6x = -2x 35 + -2x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + -2x = 2 + 0 35 + -2x = 2 Add '-35' to each side of the equation. 35 + -35 + -2x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 2 + -35 -2x = 2 + -35 Combine like terms: 2 + -35 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5
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