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Simplifying 2(6x + -5) + -1 = 7(2x + 3) + -24 Reorder the terms: 2(-5 + 6x) + -1 = 7(2x + 3) + -24 (-5 * 2 + 6x * 2) + -1 = 7(2x + 3) + -24 (-10 + 12x) + -1 = 7(2x + 3) + -24 Reorder the terms: -10 + -1 + 12x = 7(2x + 3) + -24 Combine like terms: -10 + -1 = -11 -11 + 12x = 7(2x + 3) + -24 Reorder the terms: -11 + 12x = 7(3 + 2x) + -24 -11 + 12x = (3 * 7 + 2x * 7) + -24 -11 + 12x = (21 + 14x) + -24 Reorder the terms: -11 + 12x = 21 + -24 + 14x Combine like terms: 21 + -24 = -3 -11 + 12x = -3 + 14x Solving -11 + 12x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -11 + 12x + -14x = -3 + 14x + -14x Combine like terms: 12x + -14x = -2x -11 + -2x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 -11 + -2x = -3 + 0 -11 + -2x = -3 Add '11' to each side of the equation. -11 + 11 + -2x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -3 + 11 -2x = -3 + 11 Combine like terms: -3 + 11 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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