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Simplifying 8(x + -3) + 14 = 6(x + 4) + -3 Reorder the terms: 8(-3 + x) + 14 = 6(x + 4) + -3 (-3 * 8 + x * 8) + 14 = 6(x + 4) + -3 (-24 + 8x) + 14 = 6(x + 4) + -3 Reorder the terms: -24 + 14 + 8x = 6(x + 4) + -3 Combine like terms: -24 + 14 = -10 -10 + 8x = 6(x + 4) + -3 Reorder the terms: -10 + 8x = 6(4 + x) + -3 -10 + 8x = (4 * 6 + x * 6) + -3 -10 + 8x = (24 + 6x) + -3 Reorder the terms: -10 + 8x = 24 + -3 + 6x Combine like terms: 24 + -3 = 21 -10 + 8x = 21 + 6x Solving -10 + 8x = 21 + 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. -10 + 8x + -6x = 21 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = 21 + 0 -10 + 2x = 21 Add '10' to each side of the equation. -10 + 10 + 2x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 21 + 10 2x = 21 + 10 Combine like terms: 21 + 10 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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