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Simplifying -3(x + 5) + 10x = 4x + -45 Reorder the terms: -3(5 + x) + 10x = 4x + -45 (5 * -3 + x * -3) + 10x = 4x + -45 (-15 + -3x) + 10x = 4x + -45 Combine like terms: -3x + 10x = 7x -15 + 7x = 4x + -45 Reorder the terms: -15 + 7x = -45 + 4x Solving -15 + 7x = -45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 7x + -4x = -45 + 4x + -4x Combine like terms: 7x + -4x = 3x -15 + 3x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3x = -45 + 0 -15 + 3x = -45 Add '15' to each side of the equation. -15 + 15 + 3x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -45 + 15 3x = -45 + 15 Combine like terms: -45 + 15 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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