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Simplifying 4 + -1(6 + -3x) = 5(2x + 3) 4 + (6 * -1 + -3x * -1) = 5(2x + 3) 4 + (-6 + 3x) = 5(2x + 3) Combine like terms: 4 + -6 = -2 -2 + 3x = 5(2x + 3) Reorder the terms: -2 + 3x = 5(3 + 2x) -2 + 3x = (3 * 5 + 2x * 5) -2 + 3x = (15 + 10x) Solving -2 + 3x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 3x + -10x = 15 + 10x + -10x Combine like terms: 3x + -10x = -7x -2 + -7x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -7x = 15 + 0 -2 + -7x = 15 Add '2' to each side of the equation. -2 + 2 + -7x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 15 + 2 -7x = 15 + 2 Combine like terms: 15 + 2 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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