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Simplifying 3(x + -5) + 5 = 5x + -7 Reorder the terms: 3(-5 + x) + 5 = 5x + -7 (-5 * 3 + x * 3) + 5 = 5x + -7 (-15 + 3x) + 5 = 5x + -7 Reorder the terms: -15 + 5 + 3x = 5x + -7 Combine like terms: -15 + 5 = -10 -10 + 3x = 5x + -7 Reorder the terms: -10 + 3x = -7 + 5x Solving -10 + 3x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x -10 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -2x = -7 + 0 -10 + -2x = -7 Add '10' to each side of the equation. -10 + 10 + -2x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -7 + 10 -2x = -7 + 10 Combine like terms: -7 + 10 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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