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Simplifying 3(5x + -2) + 35 = 10x + 4 Reorder the terms: 3(-2 + 5x) + 35 = 10x + 4 (-2 * 3 + 5x * 3) + 35 = 10x + 4 (-6 + 15x) + 35 = 10x + 4 Reorder the terms: -6 + 35 + 15x = 10x + 4 Combine like terms: -6 + 35 = 29 29 + 15x = 10x + 4 Reorder the terms: 29 + 15x = 4 + 10x Solving 29 + 15x = 4 + 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. 29 + 15x + -10x = 4 + 10x + -10x Combine like terms: 15x + -10x = 5x 29 + 5x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 29 + 5x = 4 + 0 29 + 5x = 4 Add '-29' to each side of the equation. 29 + -29 + 5x = 4 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 4 + -29 5x = 4 + -29 Combine like terms: 4 + -29 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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