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Simplifying 5x + -7 = 2 + -3(x + 5) Reorder the terms: -7 + 5x = 2 + -3(x + 5) Reorder the terms: -7 + 5x = 2 + -3(5 + x) -7 + 5x = 2 + (5 * -3 + x * -3) -7 + 5x = 2 + (-15 + -3x) Combine like terms: 2 + -15 = -13 -7 + 5x = -13 + -3x Solving -7 + 5x = -13 + -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 = -13 + -3x + 3x Combine like terms: 5x + 3x = 8x -7 + 8x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 8x = -13 + 0 -7 + 8x = -13 Add '7' to each side of the equation. -7 + 7 + 8x = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -13 + 7 8x = -13 + 7 Combine like terms: -13 + 7 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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