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Simplifying 3(x + -4) + 10 = 2(x + 3) Reorder the terms: 3(-4 + x) + 10 = 2(x + 3) (-4 * 3 + x * 3) + 10 = 2(x + 3) (-12 + 3x) + 10 = 2(x + 3) Reorder the terms: -12 + 10 + 3x = 2(x + 3) Combine like terms: -12 + 10 = -2 -2 + 3x = 2(x + 3) Reorder the terms: -2 + 3x = 2(3 + x) -2 + 3x = (3 * 2 + x * 2) -2 + 3x = (6 + 2x) Solving -2 + 3x = 6 + 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. -2 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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