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Simplifying 2 + -4(x + 3) = 5 + -3x + -2 Reorder the terms: 2 + -4(3 + x) = 5 + -3x + -2 2 + (3 * -4 + x * -4) = 5 + -3x + -2 2 + (-12 + -4x) = 5 + -3x + -2 Combine like terms: 2 + -12 = -10 -10 + -4x = 5 + -3x + -2 Reorder the terms: -10 + -4x = 5 + -2 + -3x Combine like terms: 5 + -2 = 3 -10 + -4x = 3 + -3x Solving -10 + -4x = 3 + -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. -10 + -4x + 3x = 3 + -3x + 3x Combine like terms: -4x + 3x = -1x -10 + -1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -1x = 3 + 0 -10 + -1x = 3 Add '10' to each side of the equation. -10 + 10 + -1x = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 3 + 10 -1x = 3 + 10 Combine like terms: 3 + 10 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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