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Simplifying -38 + -1x = -2 + 5(-3x + 4) Reorder the terms: -38 + -1x = -2 + 5(4 + -3x) -38 + -1x = -2 + (4 * 5 + -3x * 5) -38 + -1x = -2 + (20 + -15x) Combine like terms: -2 + 20 = 18 -38 + -1x = 18 + -15x Solving -38 + -1x = 18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -38 + -1x + 15x = 18 + -15x + 15x Combine like terms: -1x + 15x = 14x -38 + 14x = 18 + -15x + 15x Combine like terms: -15x + 15x = 0 -38 + 14x = 18 + 0 -38 + 14x = 18 Add '38' to each side of the equation. -38 + 38 + 14x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 18 + 38 14x = 18 + 38 Combine like terms: 18 + 38 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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