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Simplifying -1(4x + -7) + -18 = 6x + -10 + -27 + 3x Reorder the terms: -1(-7 + 4x) + -18 = 6x + -10 + -27 + 3x (-7 * -1 + 4x * -1) + -18 = 6x + -10 + -27 + 3x (7 + -4x) + -18 = 6x + -10 + -27 + 3x Reorder the terms: 7 + -18 + -4x = 6x + -10 + -27 + 3x Combine like terms: 7 + -18 = -11 -11 + -4x = 6x + -10 + -27 + 3x Reorder the terms: -11 + -4x = -10 + -27 + 6x + 3x Combine like terms: -10 + -27 = -37 -11 + -4x = -37 + 6x + 3x Combine like terms: 6x + 3x = 9x -11 + -4x = -37 + 9x Solving -11 + -4x = -37 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -11 + -4x + -9x = -37 + 9x + -9x Combine like terms: -4x + -9x = -13x -11 + -13x = -37 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + -13x = -37 + 0 -11 + -13x = -37 Add '11' to each side of the equation. -11 + 11 + -13x = -37 + 11 Combine like terms: -11 + 11 = 0 0 + -13x = -37 + 11 -13x = -37 + 11 Combine like terms: -37 + 11 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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