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Simplifying 4x + -6 = 3(x + 8) + -1(2x + 5) Reorder the terms: -6 + 4x = 3(x + 8) + -1(2x + 5) Reorder the terms: -6 + 4x = 3(8 + x) + -1(2x + 5) -6 + 4x = (8 * 3 + x * 3) + -1(2x + 5) -6 + 4x = (24 + 3x) + -1(2x + 5) Reorder the terms: -6 + 4x = 24 + 3x + -1(5 + 2x) -6 + 4x = 24 + 3x + (5 * -1 + 2x * -1) -6 + 4x = 24 + 3x + (-5 + -2x) Reorder the terms: -6 + 4x = 24 + -5 + 3x + -2x Combine like terms: 24 + -5 = 19 -6 + 4x = 19 + 3x + -2x Combine like terms: 3x + -2x = 1x -6 + 4x = 19 + 1x Solving -6 + 4x = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 4x + -1x = 19 + 1x + -1x Combine like terms: 4x + -1x = 3x -6 + 3x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 3x = 19 + 0 -6 + 3x = 19 Add '6' to each side of the equation. -6 + 6 + 3x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 19 + 6 3x = 19 + 6 Combine like terms: 19 + 6 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333
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