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Simplifying 4x + 10 + -8x = 33 + -1(10x + 5) Reorder the terms: 10 + 4x + -8x = 33 + -1(10x + 5) Combine like terms: 4x + -8x = -4x 10 + -4x = 33 + -1(10x + 5) Reorder the terms: 10 + -4x = 33 + -1(5 + 10x) 10 + -4x = 33 + (5 * -1 + 10x * -1) 10 + -4x = 33 + (-5 + -10x) Combine like terms: 33 + -5 = 28 10 + -4x = 28 + -10x Solving 10 + -4x = 28 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + -4x + 10x = 28 + -10x + 10x Combine like terms: -4x + 10x = 6x 10 + 6x = 28 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 6x = 28 + 0 10 + 6x = 28 Add '-10' to each side of the equation. 10 + -10 + 6x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 28 + -10 6x = 28 + -10 Combine like terms: 28 + -10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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