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Simplifying 3x + -4 + 3(3x + -2) = 4x + -2(x + -2) Reorder the terms: 3x + -4 + 3(-2 + 3x) = 4x + -2(x + -2) 3x + -4 + (-2 * 3 + 3x * 3) = 4x + -2(x + -2) 3x + -4 + (-6 + 9x) = 4x + -2(x + -2) Reorder the terms: -4 + -6 + 3x + 9x = 4x + -2(x + -2) Combine like terms: -4 + -6 = -10 -10 + 3x + 9x = 4x + -2(x + -2) Combine like terms: 3x + 9x = 12x -10 + 12x = 4x + -2(x + -2) Reorder the terms: -10 + 12x = 4x + -2(-2 + x) -10 + 12x = 4x + (-2 * -2 + x * -2) -10 + 12x = 4x + (4 + -2x) Reorder the terms: -10 + 12x = 4 + 4x + -2x Combine like terms: 4x + -2x = 2x -10 + 12x = 4 + 2x Solving -10 + 12x = 4 + 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. -10 + 12x + -2x = 4 + 2x + -2x Combine like terms: 12x + -2x = 10x -10 + 10x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 10x = 4 + 0 -10 + 10x = 4 Add '10' to each side of the equation. -10 + 10 + 10x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 4 + 10 10x = 4 + 10 Combine like terms: 4 + 10 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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