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Simplifying 3(x + -2) + -4 = 4 + -6(x + -3) Reorder the terms: 3(-2 + x) + -4 = 4 + -6(x + -3) (-2 * 3 + x * 3) + -4 = 4 + -6(x + -3) (-6 + 3x) + -4 = 4 + -6(x + -3) Reorder the terms: -6 + -4 + 3x = 4 + -6(x + -3) Combine like terms: -6 + -4 = -10 -10 + 3x = 4 + -6(x + -3) Reorder the terms: -10 + 3x = 4 + -6(-3 + x) -10 + 3x = 4 + (-3 * -6 + x * -6) -10 + 3x = 4 + (18 + -6x) Combine like terms: 4 + 18 = 22 -10 + 3x = 22 + -6x Solving -10 + 3x = 22 + -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. -10 + 3x + 6x = 22 + -6x + 6x Combine like terms: 3x + 6x = 9x -10 + 9x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 9x = 22 + 0 -10 + 9x = 22 Add '10' to each side of the equation. -10 + 10 + 9x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 22 + 10 9x = 22 + 10 Combine like terms: 22 + 10 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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