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Simplifying -38 = 3(5x + 4) + 10 Reorder the terms: -38 = 3(4 + 5x) + 10 -38 = (4 * 3 + 5x * 3) + 10 -38 = (12 + 15x) + 10 Reorder the terms: -38 = 12 + 10 + 15x Combine like terms: 12 + 10 = 22 -38 = 22 + 15x Solving -38 = 22 + 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 + -15x = 22 + 15x + -15x Combine like terms: 15x + -15x = 0 -38 + -15x = 22 + 0 -38 + -15x = 22 Add '38' to each side of the equation. -38 + 38 + -15x = 22 + 38 Combine like terms: -38 + 38 = 0 0 + -15x = 22 + 38 -15x = 22 + 38 Combine like terms: 22 + 38 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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