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Simplifying 8x + 4(2 + x) = 3(x + -4) + 10x 8x + (2 * 4 + x * 4) = 3(x + -4) + 10x 8x + (8 + 4x) = 3(x + -4) + 10x Reorder the terms: 8 + 8x + 4x = 3(x + -4) + 10x Combine like terms: 8x + 4x = 12x 8 + 12x = 3(x + -4) + 10x Reorder the terms: 8 + 12x = 3(-4 + x) + 10x 8 + 12x = (-4 * 3 + x * 3) + 10x 8 + 12x = (-12 + 3x) + 10x Combine like terms: 3x + 10x = 13x 8 + 12x = -12 + 13x Solving 8 + 12x = -12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 8 + 12x + -13x = -12 + 13x + -13x Combine like terms: 12x + -13x = -1x 8 + -1x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 8 + -1x = -12 + 0 8 + -1x = -12 Add '-8' to each side of the equation. 8 + -8 + -1x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -12 + -8 -1x = -12 + -8 Combine like terms: -12 + -8 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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