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Simplifying 4x + -3(-5 + x) + -1x = 1 + -7x 4x + (-5 * -3 + x * -3) + -1x = 1 + -7x 4x + (15 + -3x) + -1x = 1 + -7x Reorder the terms: 15 + 4x + -3x + -1x = 1 + -7x Combine like terms: 4x + -3x = 1x 15 + 1x + -1x = 1 + -7x Combine like terms: 1x + -1x = 0 15 + 0 = 1 + -7x 15 = 1 + -7x Solving 15 = 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. 15 + 7x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 7x = 1 + 0 15 + 7x = 1 Add '-15' to each side of the equation. 15 + -15 + 7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 1 + -15 7x = 1 + -15 Combine like terms: 1 + -15 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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