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Simplifying 5 + 2(-3x + -1) = 1 + -10(3 + -1x) Reorder the terms: 5 + 2(-1 + -3x) = 1 + -10(3 + -1x) 5 + (-1 * 2 + -3x * 2) = 1 + -10(3 + -1x) 5 + (-2 + -6x) = 1 + -10(3 + -1x) Combine like terms: 5 + -2 = 3 3 + -6x = 1 + -10(3 + -1x) 3 + -6x = 1 + (3 * -10 + -1x * -10) 3 + -6x = 1 + (-30 + 10x) Combine like terms: 1 + -30 = -29 3 + -6x = -29 + 10x Solving 3 + -6x = -29 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + -6x + -10x = -29 + 10x + -10x Combine like terms: -6x + -10x = -16x 3 + -16x = -29 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -16x = -29 + 0 3 + -16x = -29 Add '-3' to each side of the equation. 3 + -3 + -16x = -29 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = -29 + -3 -16x = -29 + -3 Combine like terms: -29 + -3 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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