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Simplifying 1 + -3(5x + -2) = 4 + -1(7x + 3) Reorder the terms: 1 + -3(-2 + 5x) = 4 + -1(7x + 3) 1 + (-2 * -3 + 5x * -3) = 4 + -1(7x + 3) 1 + (6 + -15x) = 4 + -1(7x + 3) Combine like terms: 1 + 6 = 7 7 + -15x = 4 + -1(7x + 3) Reorder the terms: 7 + -15x = 4 + -1(3 + 7x) 7 + -15x = 4 + (3 * -1 + 7x * -1) 7 + -15x = 4 + (-3 + -7x) Combine like terms: 4 + -3 = 1 7 + -15x = 1 + -7x Solving 7 + -15x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + -15x + 7x = 1 + -7x + 7x Combine like terms: -15x + 7x = -8x 7 + -8x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + -8x = 1 + 0 7 + -8x = 1 Add '-7' to each side of the equation. 7 + -7 + -8x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 1 + -7 -8x = 1 + -7 Combine like terms: 1 + -7 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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