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Simplifying 4(x + -2) = 10 + 2(3x + 1) Reorder the terms: 4(-2 + x) = 10 + 2(3x + 1) (-2 * 4 + x * 4) = 10 + 2(3x + 1) (-8 + 4x) = 10 + 2(3x + 1) Reorder the terms: -8 + 4x = 10 + 2(1 + 3x) -8 + 4x = 10 + (1 * 2 + 3x * 2) -8 + 4x = 10 + (2 + 6x) Combine like terms: 10 + 2 = 12 -8 + 4x = 12 + 6x Solving -8 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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