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Simplifying 7x + -1(-8x + 12 + -1(24x + 12) + -2) = 9x + 62 Reorder the terms: 7x + -1(-8x + 12 + -1(12 + 24x) + -2) = 9x + 62 7x + -1(-8x + 12 + (12 * -1 + 24x * -1) + -2) = 9x + 62 7x + -1(-8x + 12 + (-12 + -24x) + -2) = 9x + 62 Reorder the terms: 7x + -1(12 + -12 + -2 + -8x + -24x) = 9x + 62 Combine like terms: 12 + -12 = 0 7x + -1(0 + -2 + -8x + -24x) = 9x + 62 7x + -1(-2 + -8x + -24x) = 9x + 62 Combine like terms: -8x + -24x = -32x 7x + -1(-2 + -32x) = 9x + 62 7x + (-2 * -1 + -32x * -1) = 9x + 62 7x + (2 + 32x) = 9x + 62 Reorder the terms: 2 + 7x + 32x = 9x + 62 Combine like terms: 7x + 32x = 39x 2 + 39x = 9x + 62 Reorder the terms: 2 + 39x = 62 + 9x Solving 2 + 39x = 62 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 39x + -9x = 62 + 9x + -9x Combine like terms: 39x + -9x = 30x 2 + 30x = 62 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 30x = 62 + 0 2 + 30x = 62 Add '-2' to each side of the equation. 2 + -2 + 30x = 62 + -2 Combine like terms: 2 + -2 = 0 0 + 30x = 62 + -2 30x = 62 + -2 Combine like terms: 62 + -2 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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