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Simplifying 4 + -2(3x + 4) + 2x = -2 + 6(x + 2) Reorder the terms: 4 + -2(4 + 3x) + 2x = -2 + 6(x + 2) 4 + (4 * -2 + 3x * -2) + 2x = -2 + 6(x + 2) 4 + (-8 + -6x) + 2x = -2 + 6(x + 2) Combine like terms: 4 + -8 = -4 -4 + -6x + 2x = -2 + 6(x + 2) Combine like terms: -6x + 2x = -4x -4 + -4x = -2 + 6(x + 2) Reorder the terms: -4 + -4x = -2 + 6(2 + x) -4 + -4x = -2 + (2 * 6 + x * 6) -4 + -4x = -2 + (12 + 6x) Combine like terms: -2 + 12 = 10 -4 + -4x = 10 + 6x Solving -4 + -4x = 10 + 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. -4 + -4x + -6x = 10 + 6x + -6x Combine like terms: -4x + -6x = -10x -4 + -10x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -10x = 10 + 0 -4 + -10x = 10 Add '4' to each side of the equation. -4 + 4 + -10x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 10 + 4 -10x = 10 + 4 Combine like terms: 10 + 4 = 14 -10x = 14 Divide each side by '-10'. x = -1.4 Simplifying x = -1.4
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