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Simplifying 6(3x + -4) + 14 = 8x + -5x + -11 + 7(2x) Reorder the terms: 6(-4 + 3x) + 14 = 8x + -5x + -11 + 7(2x) (-4 * 6 + 3x * 6) + 14 = 8x + -5x + -11 + 7(2x) (-24 + 18x) + 14 = 8x + -5x + -11 + 7(2x) Reorder the terms: -24 + 14 + 18x = 8x + -5x + -11 + 7(2x) Combine like terms: -24 + 14 = -10 -10 + 18x = 8x + -5x + -11 + 7(2x) Remove parenthesis around (2x) -10 + 18x = 8x + -5x + -11 + 7 * 2x Multiply 7 * 2 -10 + 18x = 8x + -5x + -11 + 14x Reorder the terms: -10 + 18x = -11 + 8x + -5x + 14x Combine like terms: 8x + -5x = 3x -10 + 18x = -11 + 3x + 14x Combine like terms: 3x + 14x = 17x -10 + 18x = -11 + 17x Solving -10 + 18x = -11 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -10 + 18x + -17x = -11 + 17x + -17x Combine like terms: 18x + -17x = 1x -10 + 1x = -11 + 17x + -17x Combine like terms: 17x + -17x = 0 -10 + 1x = -11 + 0 -10 + 1x = -11 Add '10' to each side of the equation. -10 + 10 + 1x = -11 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -11 + 10 1x = -11 + 10 Combine like terms: -11 + 10 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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