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Simplifying 2x + -4(4x + 3) = 3(6x + 5) + -1(8x + 7) Reorder the terms: 2x + -4(3 + 4x) = 3(6x + 5) + -1(8x + 7) 2x + (3 * -4 + 4x * -4) = 3(6x + 5) + -1(8x + 7) 2x + (-12 + -16x) = 3(6x + 5) + -1(8x + 7) Reorder the terms: -12 + 2x + -16x = 3(6x + 5) + -1(8x + 7) Combine like terms: 2x + -16x = -14x -12 + -14x = 3(6x + 5) + -1(8x + 7) Reorder the terms: -12 + -14x = 3(5 + 6x) + -1(8x + 7) -12 + -14x = (5 * 3 + 6x * 3) + -1(8x + 7) -12 + -14x = (15 + 18x) + -1(8x + 7) Reorder the terms: -12 + -14x = 15 + 18x + -1(7 + 8x) -12 + -14x = 15 + 18x + (7 * -1 + 8x * -1) -12 + -14x = 15 + 18x + (-7 + -8x) Reorder the terms: -12 + -14x = 15 + -7 + 18x + -8x Combine like terms: 15 + -7 = 8 -12 + -14x = 8 + 18x + -8x Combine like terms: 18x + -8x = 10x -12 + -14x = 8 + 10x Solving -12 + -14x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + -14x + -10x = 8 + 10x + -10x Combine like terms: -14x + -10x = -24x -12 + -24x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -24x = 8 + 0 -12 + -24x = 8 Add '12' to each side of the equation. -12 + 12 + -24x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -24x = 8 + 12 -24x = 8 + 12 Combine like terms: 8 + 12 = 20 -24x = 20 Divide each side by '-24'. x = -0.8333333333 Simplifying x = -0.8333333333
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