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Simplifying 5(6x + -7) + 4(x + 6) = 5(x + 4) + -1(x + 2) Reorder the terms: 5(-7 + 6x) + 4(x + 6) = 5(x + 4) + -1(x + 2) (-7 * 5 + 6x * 5) + 4(x + 6) = 5(x + 4) + -1(x + 2) (-35 + 30x) + 4(x + 6) = 5(x + 4) + -1(x + 2) Reorder the terms: -35 + 30x + 4(6 + x) = 5(x + 4) + -1(x + 2) -35 + 30x + (6 * 4 + x * 4) = 5(x + 4) + -1(x + 2) -35 + 30x + (24 + 4x) = 5(x + 4) + -1(x + 2) Reorder the terms: -35 + 24 + 30x + 4x = 5(x + 4) + -1(x + 2) Combine like terms: -35 + 24 = -11 -11 + 30x + 4x = 5(x + 4) + -1(x + 2) Combine like terms: 30x + 4x = 34x -11 + 34x = 5(x + 4) + -1(x + 2) Reorder the terms: -11 + 34x = 5(4 + x) + -1(x + 2) -11 + 34x = (4 * 5 + x * 5) + -1(x + 2) -11 + 34x = (20 + 5x) + -1(x + 2) Reorder the terms: -11 + 34x = 20 + 5x + -1(2 + x) -11 + 34x = 20 + 5x + (2 * -1 + x * -1) -11 + 34x = 20 + 5x + (-2 + -1x) Reorder the terms: -11 + 34x = 20 + -2 + 5x + -1x Combine like terms: 20 + -2 = 18 -11 + 34x = 18 + 5x + -1x Combine like terms: 5x + -1x = 4x -11 + 34x = 18 + 4x Solving -11 + 34x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 34x + -4x = 18 + 4x + -4x Combine like terms: 34x + -4x = 30x -11 + 30x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 30x = 18 + 0 -11 + 30x = 18 Add '11' to each side of the equation. -11 + 11 + 30x = 18 + 11 Combine like terms: -11 + 11 = 0 0 + 30x = 18 + 11 30x = 18 + 11 Combine like terms: 18 + 11 = 29 30x = 29 Divide each side by '30'. x = 0.9666666667 Simplifying x = 0.9666666667
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