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Simplifying 8(2x + -5) + -6(3x + -7) = 1 Reorder the terms: 8(-5 + 2x) + -6(3x + -7) = 1 (-5 * 8 + 2x * 8) + -6(3x + -7) = 1 (-40 + 16x) + -6(3x + -7) = 1 Reorder the terms: -40 + 16x + -6(-7 + 3x) = 1 -40 + 16x + (-7 * -6 + 3x * -6) = 1 -40 + 16x + (42 + -18x) = 1 Reorder the terms: -40 + 42 + 16x + -18x = 1 Combine like terms: -40 + 42 = 2 2 + 16x + -18x = 1 Combine like terms: 16x + -18x = -2x 2 + -2x = 1 Solving 2 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 1 + -2 -2x = 1 + -2 Combine like terms: 1 + -2 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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