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Simplifying 5 + -18 = 9x + -2(4x + -7) Combine like terms: 5 + -18 = -13 -13 = 9x + -2(4x + -7) Reorder the terms: -13 = 9x + -2(-7 + 4x) -13 = 9x + (-7 * -2 + 4x * -2) -13 = 9x + (14 + -8x) Reorder the terms: -13 = 14 + 9x + -8x Combine like terms: 9x + -8x = 1x -13 = 14 + 1x Solving -13 = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + -1x = 14 + 0 -13 + -1x = 14 Add '13' to each side of the equation. -13 + 13 + -1x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 14 + 13 -1x = 14 + 13 Combine like terms: 14 + 13 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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