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Simplifying 6x + 2(1 + -5x) = 24 + -2(6x + -7) 6x + (1 * 2 + -5x * 2) = 24 + -2(6x + -7) 6x + (2 + -10x) = 24 + -2(6x + -7) Reorder the terms: 2 + 6x + -10x = 24 + -2(6x + -7) Combine like terms: 6x + -10x = -4x 2 + -4x = 24 + -2(6x + -7) Reorder the terms: 2 + -4x = 24 + -2(-7 + 6x) 2 + -4x = 24 + (-7 * -2 + 6x * -2) 2 + -4x = 24 + (14 + -12x) Combine like terms: 24 + 14 = 38 2 + -4x = 38 + -12x Solving 2 + -4x = 38 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + -4x + 12x = 38 + -12x + 12x Combine like terms: -4x + 12x = 8x 2 + 8x = 38 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 8x = 38 + 0 2 + 8x = 38 Add '-2' to each side of the equation. 2 + -2 + 8x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 38 + -2 8x = 38 + -2 Combine like terms: 38 + -2 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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