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Simplifying 5 + -4(x + 2) = -6x + 3(x + 3) Reorder the terms: 5 + -4(2 + x) = -6x + 3(x + 3) 5 + (2 * -4 + x * -4) = -6x + 3(x + 3) 5 + (-8 + -4x) = -6x + 3(x + 3) Combine like terms: 5 + -8 = -3 -3 + -4x = -6x + 3(x + 3) Reorder the terms: -3 + -4x = -6x + 3(3 + x) -3 + -4x = -6x + (3 * 3 + x * 3) -3 + -4x = -6x + (9 + 3x) Reorder the terms: -3 + -4x = 9 + -6x + 3x Combine like terms: -6x + 3x = -3x -3 + -4x = 9 + -3x Solving -3 + -4x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + -4x + 3x = 9 + -3x + 3x Combine like terms: -4x + 3x = -1x -3 + -1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -1x = 9 + 0 -3 + -1x = 9 Add '3' to each side of the equation. -3 + 3 + -1x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 9 + 3 -1x = 9 + 3 Combine like terms: 9 + 3 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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