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Simplifying 3(3x + -4) + -8x = 4 + -1(6x + 7) Reorder the terms: 3(-4 + 3x) + -8x = 4 + -1(6x + 7) (-4 * 3 + 3x * 3) + -8x = 4 + -1(6x + 7) (-12 + 9x) + -8x = 4 + -1(6x + 7) Combine like terms: 9x + -8x = 1x -12 + 1x = 4 + -1(6x + 7) Reorder the terms: -12 + 1x = 4 + -1(7 + 6x) -12 + 1x = 4 + (7 * -1 + 6x * -1) -12 + 1x = 4 + (-7 + -6x) Combine like terms: 4 + -7 = -3 -12 + 1x = -3 + -6x Solving -12 + 1x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 1x + 6x = -3 + -6x + 6x Combine like terms: 1x + 6x = 7x -12 + 7x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 7x = -3 + 0 -12 + 7x = -3 Add '12' to each side of the equation. -12 + 12 + 7x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -3 + 12 7x = -3 + 12 Combine like terms: -3 + 12 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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