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Simplifying 3(4x + -7) + -13 = 18 + -1x Reorder the terms: 3(-7 + 4x) + -13 = 18 + -1x (-7 * 3 + 4x * 3) + -13 = 18 + -1x (-21 + 12x) + -13 = 18 + -1x Reorder the terms: -21 + -13 + 12x = 18 + -1x Combine like terms: -21 + -13 = -34 -34 + 12x = 18 + -1x Solving -34 + 12x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -34 + 12x + x = 18 + -1x + x Combine like terms: 12x + x = 13x -34 + 13x = 18 + -1x + x Combine like terms: -1x + x = 0 -34 + 13x = 18 + 0 -34 + 13x = 18 Add '34' to each side of the equation. -34 + 34 + 13x = 18 + 34 Combine like terms: -34 + 34 = 0 0 + 13x = 18 + 34 13x = 18 + 34 Combine like terms: 18 + 34 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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