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Simplifying -30(2x + 5) + -4(-1x + 8) = -8(6x + 12) Reorder the terms: -30(5 + 2x) + -4(-1x + 8) = -8(6x + 12) (5 * -30 + 2x * -30) + -4(-1x + 8) = -8(6x + 12) (-150 + -60x) + -4(-1x + 8) = -8(6x + 12) Reorder the terms: -150 + -60x + -4(8 + -1x) = -8(6x + 12) -150 + -60x + (8 * -4 + -1x * -4) = -8(6x + 12) -150 + -60x + (-32 + 4x) = -8(6x + 12) Reorder the terms: -150 + -32 + -60x + 4x = -8(6x + 12) Combine like terms: -150 + -32 = -182 -182 + -60x + 4x = -8(6x + 12) Combine like terms: -60x + 4x = -56x -182 + -56x = -8(6x + 12) Reorder the terms: -182 + -56x = -8(12 + 6x) -182 + -56x = (12 * -8 + 6x * -8) -182 + -56x = (-96 + -48x) Solving -182 + -56x = -96 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -182 + -56x + 48x = -96 + -48x + 48x Combine like terms: -56x + 48x = -8x -182 + -8x = -96 + -48x + 48x Combine like terms: -48x + 48x = 0 -182 + -8x = -96 + 0 -182 + -8x = -96 Add '182' to each side of the equation. -182 + 182 + -8x = -96 + 182 Combine like terms: -182 + 182 = 0 0 + -8x = -96 + 182 -8x = -96 + 182 Combine like terms: -96 + 182 = 86 -8x = 86 Divide each side by '-8'. x = -10.75 Simplifying x = -10.75
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