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Simplifying 4x + -1(5x + 7) = 7x + -3 Reorder the terms: 4x + -1(7 + 5x) = 7x + -3 4x + (7 * -1 + 5x * -1) = 7x + -3 4x + (-7 + -5x) = 7x + -3 Reorder the terms: -7 + 4x + -5x = 7x + -3 Combine like terms: 4x + -5x = -1x -7 + -1x = 7x + -3 Reorder the terms: -7 + -1x = -3 + 7x Solving -7 + -1x = -3 + 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 + -1x + -7x = -3 + 7x + -7x Combine like terms: -1x + -7x = -8x -7 + -8x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -8x = -3 + 0 -7 + -8x = -3 Add '7' to each side of the equation. -7 + 7 + -8x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -3 + 7 -8x = -3 + 7 Combine like terms: -3 + 7 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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