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Simplifying 8(x + -6) + -2(3x + -4) = -30 Reorder the terms: 8(-6 + x) + -2(3x + -4) = -30 (-6 * 8 + x * 8) + -2(3x + -4) = -30 (-48 + 8x) + -2(3x + -4) = -30 Reorder the terms: -48 + 8x + -2(-4 + 3x) = -30 -48 + 8x + (-4 * -2 + 3x * -2) = -30 -48 + 8x + (8 + -6x) = -30 Reorder the terms: -48 + 8 + 8x + -6x = -30 Combine like terms: -48 + 8 = -40 -40 + 8x + -6x = -30 Combine like terms: 8x + -6x = 2x -40 + 2x = -30 Solving -40 + 2x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 2x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -30 + 40 2x = -30 + 40 Combine like terms: -30 + 40 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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