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Simplifying x(4 + 3) + -10 = 5(x + -6) + -4 Combine like terms: 4 + 3 = 7 x(7) + -10 = 5(x + -6) + -4 Reorder the terms for easier multiplication: 7x + -10 = 5(x + -6) + -4 Reorder the terms: -10 + 7x = 5(x + -6) + -4 Reorder the terms: -10 + 7x = 5(-6 + x) + -4 -10 + 7x = (-6 * 5 + x * 5) + -4 -10 + 7x = (-30 + 5x) + -4 Reorder the terms: -10 + 7x = -30 + -4 + 5x Combine like terms: -30 + -4 = -34 -10 + 7x = -34 + 5x Solving -10 + 7x = -34 + 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 + 7x + -5x = -34 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = -34 + 0 -10 + 2x = -34 Add '10' to each side of the equation. -10 + 10 + 2x = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -34 + 10 2x = -34 + 10 Combine like terms: -34 + 10 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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