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Simplifying 8(2x + -3) + -5(2x + 8) = 38 + -4(1 + -5x) Reorder the terms: 8(-3 + 2x) + -5(2x + 8) = 38 + -4(1 + -5x) (-3 * 8 + 2x * 8) + -5(2x + 8) = 38 + -4(1 + -5x) (-24 + 16x) + -5(2x + 8) = 38 + -4(1 + -5x) Reorder the terms: -24 + 16x + -5(8 + 2x) = 38 + -4(1 + -5x) -24 + 16x + (8 * -5 + 2x * -5) = 38 + -4(1 + -5x) -24 + 16x + (-40 + -10x) = 38 + -4(1 + -5x) Reorder the terms: -24 + -40 + 16x + -10x = 38 + -4(1 + -5x) Combine like terms: -24 + -40 = -64 -64 + 16x + -10x = 38 + -4(1 + -5x) Combine like terms: 16x + -10x = 6x -64 + 6x = 38 + -4(1 + -5x) -64 + 6x = 38 + (1 * -4 + -5x * -4) -64 + 6x = 38 + (-4 + 20x) Combine like terms: 38 + -4 = 34 -64 + 6x = 34 + 20x Solving -64 + 6x = 34 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -64 + 6x + -20x = 34 + 20x + -20x Combine like terms: 6x + -20x = -14x -64 + -14x = 34 + 20x + -20x Combine like terms: 20x + -20x = 0 -64 + -14x = 34 + 0 -64 + -14x = 34 Add '64' to each side of the equation. -64 + 64 + -14x = 34 + 64 Combine like terms: -64 + 64 = 0 0 + -14x = 34 + 64 -14x = 34 + 64 Combine like terms: 34 + 64 = 98 -14x = 98 Divide each side by '-14'. x = -7 Simplifying x = -7
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