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Simplifying 10(x + 3) = 5(-3x + 6) + -4x Reorder the terms: 10(3 + x) = 5(-3x + 6) + -4x (3 * 10 + x * 10) = 5(-3x + 6) + -4x (30 + 10x) = 5(-3x + 6) + -4x Reorder the terms: 30 + 10x = 5(6 + -3x) + -4x 30 + 10x = (6 * 5 + -3x * 5) + -4x 30 + 10x = (30 + -15x) + -4x Combine like terms: -15x + -4x = -19x 30 + 10x = 30 + -19x Add '-30' to each side of the equation. 30 + -30 + 10x = 30 + -30 + -19x Combine like terms: 30 + -30 = 0 0 + 10x = 30 + -30 + -19x 10x = 30 + -30 + -19x Combine like terms: 30 + -30 = 0 10x = 0 + -19x 10x = -19x Solving 10x = -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 10x + 19x = -19x + 19x Combine like terms: 10x + 19x = 29x 29x = -19x + 19x Combine like terms: -19x + 19x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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