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Simplifying 4(5x + -3) + 38 = 15x + -4 Reorder the terms: 4(-3 + 5x) + 38 = 15x + -4 (-3 * 4 + 5x * 4) + 38 = 15x + -4 (-12 + 20x) + 38 = 15x + -4 Reorder the terms: -12 + 38 + 20x = 15x + -4 Combine like terms: -12 + 38 = 26 26 + 20x = 15x + -4 Reorder the terms: 26 + 20x = -4 + 15x Solving 26 + 20x = -4 + 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. 26 + 20x + -15x = -4 + 15x + -15x Combine like terms: 20x + -15x = 5x 26 + 5x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 26 + 5x = -4 + 0 26 + 5x = -4 Add '-26' to each side of the equation. 26 + -26 + 5x = -4 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = -4 + -26 5x = -4 + -26 Combine like terms: -4 + -26 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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