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Simplifying -38 + 5x = -3(-6x + -7) + 6 Reorder the terms: -38 + 5x = -3(-7 + -6x) + 6 -38 + 5x = (-7 * -3 + -6x * -3) + 6 -38 + 5x = (21 + 18x) + 6 Reorder the terms: -38 + 5x = 21 + 6 + 18x Combine like terms: 21 + 6 = 27 -38 + 5x = 27 + 18x Solving -38 + 5x = 27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -38 + 5x + -18x = 27 + 18x + -18x Combine like terms: 5x + -18x = -13x -38 + -13x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 -38 + -13x = 27 + 0 -38 + -13x = 27 Add '38' to each side of the equation. -38 + 38 + -13x = 27 + 38 Combine like terms: -38 + 38 = 0 0 + -13x = 27 + 38 -13x = 27 + 38 Combine like terms: 27 + 38 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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