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Simplifying x + 3x = 8(x + -3) + 2(x + 3) Combine like terms: x + 3x = 4x 4x = 8(x + -3) + 2(x + 3) Reorder the terms: 4x = 8(-3 + x) + 2(x + 3) 4x = (-3 * 8 + x * 8) + 2(x + 3) 4x = (-24 + 8x) + 2(x + 3) Reorder the terms: 4x = -24 + 8x + 2(3 + x) 4x = -24 + 8x + (3 * 2 + x * 2) 4x = -24 + 8x + (6 + 2x) Reorder the terms: 4x = -24 + 6 + 8x + 2x Combine like terms: -24 + 6 = -18 4x = -18 + 8x + 2x Combine like terms: 8x + 2x = 10x 4x = -18 + 10x Solving 4x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4x + -10x = -18 + 10x + -10x Combine like terms: 4x + -10x = -6x -6x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 -6x = -18 + 0 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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