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