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Simplifying 4x + 6x + -29 = 3(x + -5) Reorder the terms: -29 + 4x + 6x = 3(x + -5) Combine like terms: 4x + 6x = 10x -29 + 10x = 3(x + -5) Reorder the terms: -29 + 10x = 3(-5 + x) -29 + 10x = (-5 * 3 + x * 3) -29 + 10x = (-15 + 3x) Solving -29 + 10x = -15 + 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. -29 + 10x + -3x = -15 + 3x + -3x Combine like terms: 10x + -3x = 7x -29 + 7x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 7x = -15 + 0 -29 + 7x = -15 Add '29' to each side of the equation. -29 + 29 + 7x = -15 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = -15 + 29 7x = -15 + 29 Combine like terms: -15 + 29 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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