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Simplifying 3x + -10 + 4x = 3(x + 5) + -4 Reorder the terms: -10 + 3x + 4x = 3(x + 5) + -4 Combine like terms: 3x + 4x = 7x -10 + 7x = 3(x + 5) + -4 Reorder the terms: -10 + 7x = 3(5 + x) + -4 -10 + 7x = (5 * 3 + x * 3) + -4 -10 + 7x = (15 + 3x) + -4 Reorder the terms: -10 + 7x = 15 + -4 + 3x Combine like terms: 15 + -4 = 11 -10 + 7x = 11 + 3x Solving -10 + 7x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 7x + -3x = 11 + 3x + -3x Combine like terms: 7x + -3x = 4x -10 + 4x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 4x = 11 + 0 -10 + 4x = 11 Add '10' to each side of the equation. -10 + 10 + 4x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 11 + 10 4x = 11 + 10 Combine like terms: 11 + 10 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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