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Simplifying 4(x + 1) = 10x + 2x + -8 Reorder the terms: 4(1 + x) = 10x + 2x + -8 (1 * 4 + x * 4) = 10x + 2x + -8 (4 + 4x) = 10x + 2x + -8 Reorder the terms: 4 + 4x = -8 + 10x + 2x Combine like terms: 10x + 2x = 12x 4 + 4x = -8 + 12x Solving 4 + 4x = -8 + 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. 4 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x 4 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -8x = -8 + 0 4 + -8x = -8 Add '-4' to each side of the equation. 4 + -4 + -8x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -8 + -4 -8x = -8 + -4 Combine like terms: -8 + -4 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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