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Simplifying 3x + -7 = 4(5x + 2) + -7x Reorder the terms: -7 + 3x = 4(5x + 2) + -7x Reorder the terms: -7 + 3x = 4(2 + 5x) + -7x -7 + 3x = (2 * 4 + 5x * 4) + -7x -7 + 3x = (8 + 20x) + -7x Combine like terms: 20x + -7x = 13x -7 + 3x = 8 + 13x Solving -7 + 3x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -7 + 3x + -13x = 8 + 13x + -13x Combine like terms: 3x + -13x = -10x -7 + -10x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -7 + -10x = 8 + 0 -7 + -10x = 8 Add '7' to each side of the equation. -7 + 7 + -10x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 8 + 7 -10x = 8 + 7 Combine like terms: 8 + 7 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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