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Simplifying 1.5(30 + -4x + -10) = 30 + -4(8 + -1x) + -10 Reorder the terms: 1.5(30 + -10 + -4x) = 30 + -4(8 + -1x) + -10 Combine like terms: 30 + -10 = 20 1.5(20 + -4x) = 30 + -4(8 + -1x) + -10 (20 * 1.5 + -4x * 1.5) = 30 + -4(8 + -1x) + -10 (30 + -6x) = 30 + -4(8 + -1x) + -10 30 + -6x = 30 + (8 * -4 + -1x * -4) + -10 30 + -6x = 30 + (-32 + 4x) + -10 Reorder the terms: 30 + -6x = 30 + -32 + -10 + 4x Combine like terms: 30 + -32 = -2 30 + -6x = -2 + -10 + 4x Combine like terms: -2 + -10 = -12 30 + -6x = -12 + 4x Solving 30 + -6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + -6x + -4x = -12 + 4x + -4x Combine like terms: -6x + -4x = -10x 30 + -10x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -10x = -12 + 0 30 + -10x = -12 Add '-30' to each side of the equation. 30 + -30 + -10x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -12 + -30 -10x = -12 + -30 Combine like terms: -12 + -30 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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