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Simplifying -8(x + 1) + 5(3x + -4) = 6(x + -6) + 14 Reorder the terms: -8(1 + x) + 5(3x + -4) = 6(x + -6) + 14 (1 * -8 + x * -8) + 5(3x + -4) = 6(x + -6) + 14 (-8 + -8x) + 5(3x + -4) = 6(x + -6) + 14 Reorder the terms: -8 + -8x + 5(-4 + 3x) = 6(x + -6) + 14 -8 + -8x + (-4 * 5 + 3x * 5) = 6(x + -6) + 14 -8 + -8x + (-20 + 15x) = 6(x + -6) + 14 Reorder the terms: -8 + -20 + -8x + 15x = 6(x + -6) + 14 Combine like terms: -8 + -20 = -28 -28 + -8x + 15x = 6(x + -6) + 14 Combine like terms: -8x + 15x = 7x -28 + 7x = 6(x + -6) + 14 Reorder the terms: -28 + 7x = 6(-6 + x) + 14 -28 + 7x = (-6 * 6 + x * 6) + 14 -28 + 7x = (-36 + 6x) + 14 Reorder the terms: -28 + 7x = -36 + 14 + 6x Combine like terms: -36 + 14 = -22 -28 + 7x = -22 + 6x Solving -28 + 7x = -22 + 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. -28 + 7x + -6x = -22 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = -22 + 0 -28 + 1x = -22 Add '28' to each side of the equation. -28 + 28 + 1x = -22 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -22 + 28 1x = -22 + 28 Combine like terms: -22 + 28 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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