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Simplifying 6 + -3(6x + 7) = -14 + 8(3x + -4) Reorder the terms: 6 + -3(7 + 6x) = -14 + 8(3x + -4) 6 + (7 * -3 + 6x * -3) = -14 + 8(3x + -4) 6 + (-21 + -18x) = -14 + 8(3x + -4) Combine like terms: 6 + -21 = -15 -15 + -18x = -14 + 8(3x + -4) Reorder the terms: -15 + -18x = -14 + 8(-4 + 3x) -15 + -18x = -14 + (-4 * 8 + 3x * 8) -15 + -18x = -14 + (-32 + 24x) Combine like terms: -14 + -32 = -46 -15 + -18x = -46 + 24x Solving -15 + -18x = -46 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + -18x + -24x = -46 + 24x + -24x Combine like terms: -18x + -24x = -42x -15 + -42x = -46 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -42x = -46 + 0 -15 + -42x = -46 Add '15' to each side of the equation. -15 + 15 + -42x = -46 + 15 Combine like terms: -15 + 15 = 0 0 + -42x = -46 + 15 -42x = -46 + 15 Combine like terms: -46 + 15 = -31 -42x = -31 Divide each side by '-42'. x = 0.7380952381 Simplifying x = 0.7380952381
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