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Simplifying 8(2x + -5) + -2(x + -2) = 5(x + 7) + -4(x + -8) Reorder the terms: 8(-5 + 2x) + -2(x + -2) = 5(x + 7) + -4(x + -8) (-5 * 8 + 2x * 8) + -2(x + -2) = 5(x + 7) + -4(x + -8) (-40 + 16x) + -2(x + -2) = 5(x + 7) + -4(x + -8) Reorder the terms: -40 + 16x + -2(-2 + x) = 5(x + 7) + -4(x + -8) -40 + 16x + (-2 * -2 + x * -2) = 5(x + 7) + -4(x + -8) -40 + 16x + (4 + -2x) = 5(x + 7) + -4(x + -8) Reorder the terms: -40 + 4 + 16x + -2x = 5(x + 7) + -4(x + -8) Combine like terms: -40 + 4 = -36 -36 + 16x + -2x = 5(x + 7) + -4(x + -8) Combine like terms: 16x + -2x = 14x -36 + 14x = 5(x + 7) + -4(x + -8) Reorder the terms: -36 + 14x = 5(7 + x) + -4(x + -8) -36 + 14x = (7 * 5 + x * 5) + -4(x + -8) -36 + 14x = (35 + 5x) + -4(x + -8) Reorder the terms: -36 + 14x = 35 + 5x + -4(-8 + x) -36 + 14x = 35 + 5x + (-8 * -4 + x * -4) -36 + 14x = 35 + 5x + (32 + -4x) Reorder the terms: -36 + 14x = 35 + 32 + 5x + -4x Combine like terms: 35 + 32 = 67 -36 + 14x = 67 + 5x + -4x Combine like terms: 5x + -4x = 1x -36 + 14x = 67 + 1x Solving -36 + 14x = 67 + 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. -36 + 14x + -1x = 67 + 1x + -1x Combine like terms: 14x + -1x = 13x -36 + 13x = 67 + 1x + -1x Combine like terms: 1x + -1x = 0 -36 + 13x = 67 + 0 -36 + 13x = 67 Add '36' to each side of the equation. -36 + 36 + 13x = 67 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 67 + 36 13x = 67 + 36 Combine like terms: 67 + 36 = 103 13x = 103 Divide each side by '13'. x = 7.923076923 Simplifying x = 7.923076923
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