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Simplifying -4x + 5(5x + 7) = -3(12 + 6x) + -7 Reorder the terms: -4x + 5(7 + 5x) = -3(12 + 6x) + -7 -4x + (7 * 5 + 5x * 5) = -3(12 + 6x) + -7 -4x + (35 + 25x) = -3(12 + 6x) + -7 Reorder the terms: 35 + -4x + 25x = -3(12 + 6x) + -7 Combine like terms: -4x + 25x = 21x 35 + 21x = -3(12 + 6x) + -7 35 + 21x = (12 * -3 + 6x * -3) + -7 35 + 21x = (-36 + -18x) + -7 Reorder the terms: 35 + 21x = -36 + -7 + -18x Combine like terms: -36 + -7 = -43 35 + 21x = -43 + -18x Solving 35 + 21x = -43 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 35 + 21x + 18x = -43 + -18x + 18x Combine like terms: 21x + 18x = 39x 35 + 39x = -43 + -18x + 18x Combine like terms: -18x + 18x = 0 35 + 39x = -43 + 0 35 + 39x = -43 Add '-35' to each side of the equation. 35 + -35 + 39x = -43 + -35 Combine like terms: 35 + -35 = 0 0 + 39x = -43 + -35 39x = -43 + -35 Combine like terms: -43 + -35 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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