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Simplifying 3(x + -4) + 3x = 2(x + 10) Reorder the terms: 3(-4 + x) + 3x = 2(x + 10) (-4 * 3 + x * 3) + 3x = 2(x + 10) (-12 + 3x) + 3x = 2(x + 10) Combine like terms: 3x + 3x = 6x -12 + 6x = 2(x + 10) Reorder the terms: -12 + 6x = 2(10 + x) -12 + 6x = (10 * 2 + x * 2) -12 + 6x = (20 + 2x) Solving -12 + 6x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 6x + -2x = 20 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 20 + 0 -12 + 4x = 20 Add '12' to each side of the equation. -12 + 12 + 4x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 20 + 12 4x = 20 + 12 Combine like terms: 20 + 12 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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