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Simplifying 5(8x + -28) = 2 + -2(x + 6) Reorder the terms: 5(-28 + 8x) = 2 + -2(x + 6) (-28 * 5 + 8x * 5) = 2 + -2(x + 6) (-140 + 40x) = 2 + -2(x + 6) Reorder the terms: -140 + 40x = 2 + -2(6 + x) -140 + 40x = 2 + (6 * -2 + x * -2) -140 + 40x = 2 + (-12 + -2x) Combine like terms: 2 + -12 = -10 -140 + 40x = -10 + -2x Solving -140 + 40x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -140 + 40x + 2x = -10 + -2x + 2x Combine like terms: 40x + 2x = 42x -140 + 42x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -140 + 42x = -10 + 0 -140 + 42x = -10 Add '140' to each side of the equation. -140 + 140 + 42x = -10 + 140 Combine like terms: -140 + 140 = 0 0 + 42x = -10 + 140 42x = -10 + 140 Combine like terms: -10 + 140 = 130 42x = 130 Divide each side by '42'. x = 3.095238095 Simplifying x = 3.095238095
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