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Simplifying 2(-3 + -7) + 3(x + -1) = -4(x + -1) + -3 Combine like terms: -3 + -7 = -10 2(-10) + 3(x + -1) = -4(x + -1) + -3 Multiply 2 * -10 -20 + 3(x + -1) = -4(x + -1) + -3 Reorder the terms: -20 + 3(-1 + x) = -4(x + -1) + -3 -20 + (-1 * 3 + x * 3) = -4(x + -1) + -3 -20 + (-3 + 3x) = -4(x + -1) + -3 Combine like terms: -20 + -3 = -23 -23 + 3x = -4(x + -1) + -3 Reorder the terms: -23 + 3x = -4(-1 + x) + -3 -23 + 3x = (-1 * -4 + x * -4) + -3 -23 + 3x = (4 + -4x) + -3 Reorder the terms: -23 + 3x = 4 + -3 + -4x Combine like terms: 4 + -3 = 1 -23 + 3x = 1 + -4x Solving -23 + 3x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -23 + 3x + 4x = 1 + -4x + 4x Combine like terms: 3x + 4x = 7x -23 + 7x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -23 + 7x = 1 + 0 -23 + 7x = 1 Add '23' to each side of the equation. -23 + 23 + 7x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 7x = 1 + 23 7x = 1 + 23 Combine like terms: 1 + 23 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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