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Simplifying (10x + -7) = 5(4x + 6) Reorder the terms: (-7 + 10x) = 5(4x + 6) Remove parenthesis around (-7 + 10x) -7 + 10x = 5(4x + 6) Reorder the terms: -7 + 10x = 5(6 + 4x) -7 + 10x = (6 * 5 + 4x * 5) -7 + 10x = (30 + 20x) Solving -7 + 10x = 30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -7 + 10x + -20x = 30 + 20x + -20x Combine like terms: 10x + -20x = -10x -7 + -10x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 -7 + -10x = 30 + 0 -7 + -10x = 30 Add '7' to each side of the equation. -7 + 7 + -10x = 30 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 30 + 7 -10x = 30 + 7 Combine like terms: 30 + 7 = 37 -10x = 37 Divide each side by '-10'. x = -3.7 Simplifying x = -3.7
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