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Simplifying 6(x + -4) + -5(x + -35) = 4x + 38 Reorder the terms: 6(-4 + x) + -5(x + -35) = 4x + 38 (-4 * 6 + x * 6) + -5(x + -35) = 4x + 38 (-24 + 6x) + -5(x + -35) = 4x + 38 Reorder the terms: -24 + 6x + -5(-35 + x) = 4x + 38 -24 + 6x + (-35 * -5 + x * -5) = 4x + 38 -24 + 6x + (175 + -5x) = 4x + 38 Reorder the terms: -24 + 175 + 6x + -5x = 4x + 38 Combine like terms: -24 + 175 = 151 151 + 6x + -5x = 4x + 38 Combine like terms: 6x + -5x = 1x 151 + 1x = 4x + 38 Reorder the terms: 151 + 1x = 38 + 4x Solving 151 + 1x = 38 + 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. 151 + 1x + -4x = 38 + 4x + -4x Combine like terms: 1x + -4x = -3x 151 + -3x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 151 + -3x = 38 + 0 151 + -3x = 38 Add '-151' to each side of the equation. 151 + -151 + -3x = 38 + -151 Combine like terms: 151 + -151 = 0 0 + -3x = 38 + -151 -3x = 38 + -151 Combine like terms: 38 + -151 = -113 -3x = -113 Divide each side by '-3'. x = 37.66666667 Simplifying x = 37.66666667
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