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Simplifying 8x + 5(x + -6) + -2(5 + -1x) = 3(-4x) + 2 Reorder the terms: 8x + 5(-6 + x) + -2(5 + -1x) = 3(-4x) + 2 8x + (-6 * 5 + x * 5) + -2(5 + -1x) = 3(-4x) + 2 8x + (-30 + 5x) + -2(5 + -1x) = 3(-4x) + 2 8x + -30 + 5x + (5 * -2 + -1x * -2) = 3(-4x) + 2 8x + -30 + 5x + (-10 + 2x) = 3(-4x) + 2 Reorder the terms: -30 + -10 + 8x + 5x + 2x = 3(-4x) + 2 Combine like terms: -30 + -10 = -40 -40 + 8x + 5x + 2x = 3(-4x) + 2 Combine like terms: 8x + 5x = 13x -40 + 13x + 2x = 3(-4x) + 2 Combine like terms: 13x + 2x = 15x -40 + 15x = 3(-4x) + 2 Remove parenthesis around (-4x) -40 + 15x = 3 * -4x + 2 Multiply 3 * -4 -40 + 15x = -12x + 2 Reorder the terms: -40 + 15x = 2 + -12x Solving -40 + 15x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -40 + 15x + 12x = 2 + -12x + 12x Combine like terms: 15x + 12x = 27x -40 + 27x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + 27x = 2 + 0 -40 + 27x = 2 Add '40' to each side of the equation. -40 + 40 + 27x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 27x = 2 + 40 27x = 2 + 40 Combine like terms: 2 + 40 = 42 27x = 42 Divide each side by '27'. x = 1.555555556 Simplifying x = 1.555555556
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