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Simplifying 5(3x + 1) + -7x = 4 + -2(x + -3) Reorder the terms: 5(1 + 3x) + -7x = 4 + -2(x + -3) (1 * 5 + 3x * 5) + -7x = 4 + -2(x + -3) (5 + 15x) + -7x = 4 + -2(x + -3) Combine like terms: 15x + -7x = 8x 5 + 8x = 4 + -2(x + -3) Reorder the terms: 5 + 8x = 4 + -2(-3 + x) 5 + 8x = 4 + (-3 * -2 + x * -2) 5 + 8x = 4 + (6 + -2x) Combine like terms: 4 + 6 = 10 5 + 8x = 10 + -2x Solving 5 + 8x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x 5 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 10x = 10 + 0 5 + 10x = 10 Add '-5' to each side of the equation. 5 + -5 + 10x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 10 + -5 10x = 10 + -5 Combine like terms: 10 + -5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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