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Simplifying 4x + -3(4 + -7x) + 1 = 5(2x + -3) + 2x + -9 4x + (4 * -3 + -7x * -3) + 1 = 5(2x + -3) + 2x + -9 4x + (-12 + 21x) + 1 = 5(2x + -3) + 2x + -9 Reorder the terms: -12 + 1 + 4x + 21x = 5(2x + -3) + 2x + -9 Combine like terms: -12 + 1 = -11 -11 + 4x + 21x = 5(2x + -3) + 2x + -9 Combine like terms: 4x + 21x = 25x -11 + 25x = 5(2x + -3) + 2x + -9 Reorder the terms: -11 + 25x = 5(-3 + 2x) + 2x + -9 -11 + 25x = (-3 * 5 + 2x * 5) + 2x + -9 -11 + 25x = (-15 + 10x) + 2x + -9 Reorder the terms: -11 + 25x = -15 + -9 + 10x + 2x Combine like terms: -15 + -9 = -24 -11 + 25x = -24 + 10x + 2x Combine like terms: 10x + 2x = 12x -11 + 25x = -24 + 12x Solving -11 + 25x = -24 + 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. -11 + 25x + -12x = -24 + 12x + -12x Combine like terms: 25x + -12x = 13x -11 + 13x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + 13x = -24 + 0 -11 + 13x = -24 Add '11' to each side of the equation. -11 + 11 + 13x = -24 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = -24 + 11 13x = -24 + 11 Combine like terms: -24 + 11 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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