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Simplifying 24x + -34(2) + 25 + -1(x + 16) = 12x + 12x Multiply -34 * 2 24x + -68 + 25 + -1(x + 16) = 12x + 12x Reorder the terms: 24x + -68 + 25 + -1(16 + x) = 12x + 12x 24x + -68 + 25 + (16 * -1 + x * -1) = 12x + 12x 24x + -68 + 25 + (-16 + -1x) = 12x + 12x Reorder the terms: -68 + 25 + -16 + 24x + -1x = 12x + 12x Combine like terms: -68 + 25 = -43 -43 + -16 + 24x + -1x = 12x + 12x Combine like terms: -43 + -16 = -59 -59 + 24x + -1x = 12x + 12x Combine like terms: 24x + -1x = 23x -59 + 23x = 12x + 12x Combine like terms: 12x + 12x = 24x -59 + 23x = 24x Solving -59 + 23x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -59 + 23x + -24x = 24x + -24x Combine like terms: 23x + -24x = -1x -59 + -1x = 24x + -24x Combine like terms: 24x + -24x = 0 -59 + -1x = 0 Add '59' to each side of the equation. -59 + 59 + -1x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -1x = 0 + 59 -1x = 0 + 59 Combine like terms: 0 + 59 = 59 -1x = 59 Divide each side by '-1'. x = -59 Simplifying x = -59
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