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Simplifying 8x + 4(5 + x) = 3(x + -3) + 10x 8x + (5 * 4 + x * 4) = 3(x + -3) + 10x 8x + (20 + 4x) = 3(x + -3) + 10x Reorder the terms: 20 + 8x + 4x = 3(x + -3) + 10x Combine like terms: 8x + 4x = 12x 20 + 12x = 3(x + -3) + 10x Reorder the terms: 20 + 12x = 3(-3 + x) + 10x 20 + 12x = (-3 * 3 + x * 3) + 10x 20 + 12x = (-9 + 3x) + 10x Combine like terms: 3x + 10x = 13x 20 + 12x = -9 + 13x Solving 20 + 12x = -9 + 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. 20 + 12x + -13x = -9 + 13x + -13x Combine like terms: 12x + -13x = -1x 20 + -1x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 20 + -1x = -9 + 0 20 + -1x = -9 Add '-20' to each side of the equation. 20 + -20 + -1x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = -9 + -20 -1x = -9 + -20 Combine like terms: -9 + -20 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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