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Simplifying 6(x + -2) + 10 = 4(x + 1) Reorder the terms: 6(-2 + x) + 10 = 4(x + 1) (-2 * 6 + x * 6) + 10 = 4(x + 1) (-12 + 6x) + 10 = 4(x + 1) Reorder the terms: -12 + 10 + 6x = 4(x + 1) Combine like terms: -12 + 10 = -2 -2 + 6x = 4(x + 1) Reorder the terms: -2 + 6x = 4(1 + x) -2 + 6x = (1 * 4 + x * 4) -2 + 6x = (4 + 4x) Solving -2 + 6x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 4 + 0 -2 + 2x = 4 Add '2' to each side of the equation. -2 + 2 + 2x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 4 + 2 2x = 4 + 2 Combine like terms: 4 + 2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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