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Simplifying 2 + -3(x + 4) = 4x + 6(x + 2) Reorder the terms: 2 + -3(4 + x) = 4x + 6(x + 2) 2 + (4 * -3 + x * -3) = 4x + 6(x + 2) 2 + (-12 + -3x) = 4x + 6(x + 2) Combine like terms: 2 + -12 = -10 -10 + -3x = 4x + 6(x + 2) Reorder the terms: -10 + -3x = 4x + 6(2 + x) -10 + -3x = 4x + (2 * 6 + x * 6) -10 + -3x = 4x + (12 + 6x) Reorder the terms: -10 + -3x = 12 + 4x + 6x Combine like terms: 4x + 6x = 10x -10 + -3x = 12 + 10x Solving -10 + -3x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + -3x + -10x = 12 + 10x + -10x Combine like terms: -3x + -10x = -13x -10 + -13x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -13x = 12 + 0 -10 + -13x = 12 Add '10' to each side of the equation. -10 + 10 + -13x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 12 + 10 -13x = 12 + 10 Combine like terms: 12 + 10 = 22 -13x = 22 Divide each side by '-13'. x = -1.692307692 Simplifying x = -1.692307692
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