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Simplifying -4(x + -3) + -13 = 3(x + 2) Reorder the terms: -4(-3 + x) + -13 = 3(x + 2) (-3 * -4 + x * -4) + -13 = 3(x + 2) (12 + -4x) + -13 = 3(x + 2) Reorder the terms: 12 + -13 + -4x = 3(x + 2) Combine like terms: 12 + -13 = -1 -1 + -4x = 3(x + 2) Reorder the terms: -1 + -4x = 3(2 + x) -1 + -4x = (2 * 3 + x * 3) -1 + -4x = (6 + 3x) Solving -1 + -4x = 6 + 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. -1 + -4x + -3x = 6 + 3x + -3x Combine like terms: -4x + -3x = -7x -1 + -7x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -7x = 6 + 0 -1 + -7x = 6 Add '1' to each side of the equation. -1 + 1 + -7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 6 + 1 -7x = 6 + 1 Combine like terms: 6 + 1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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