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Simplifying 6(1 + -3x) + 8(x + -7) = 4x + -8 + -6 + 4x (1 * 6 + -3x * 6) + 8(x + -7) = 4x + -8 + -6 + 4x (6 + -18x) + 8(x + -7) = 4x + -8 + -6 + 4x Reorder the terms: 6 + -18x + 8(-7 + x) = 4x + -8 + -6 + 4x 6 + -18x + (-7 * 8 + x * 8) = 4x + -8 + -6 + 4x 6 + -18x + (-56 + 8x) = 4x + -8 + -6 + 4x Reorder the terms: 6 + -56 + -18x + 8x = 4x + -8 + -6 + 4x Combine like terms: 6 + -56 = -50 -50 + -18x + 8x = 4x + -8 + -6 + 4x Combine like terms: -18x + 8x = -10x -50 + -10x = 4x + -8 + -6 + 4x Reorder the terms: -50 + -10x = -8 + -6 + 4x + 4x Combine like terms: -8 + -6 = -14 -50 + -10x = -14 + 4x + 4x Combine like terms: 4x + 4x = 8x -50 + -10x = -14 + 8x Solving -50 + -10x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -50 + -10x + -8x = -14 + 8x + -8x Combine like terms: -10x + -8x = -18x -50 + -18x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -50 + -18x = -14 + 0 -50 + -18x = -14 Add '50' to each side of the equation. -50 + 50 + -18x = -14 + 50 Combine like terms: -50 + 50 = 0 0 + -18x = -14 + 50 -18x = -14 + 50 Combine like terms: -14 + 50 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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