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Simplifying 3(5x + -4) + 3 = 10x + 6 Reorder the terms: 3(-4 + 5x) + 3 = 10x + 6 (-4 * 3 + 5x * 3) + 3 = 10x + 6 (-12 + 15x) + 3 = 10x + 6 Reorder the terms: -12 + 3 + 15x = 10x + 6 Combine like terms: -12 + 3 = -9 -9 + 15x = 10x + 6 Reorder the terms: -9 + 15x = 6 + 10x Solving -9 + 15x = 6 + 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. -9 + 15x + -10x = 6 + 10x + -10x Combine like terms: 15x + -10x = 5x -9 + 5x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 5x = 6 + 0 -9 + 5x = 6 Add '9' to each side of the equation. -9 + 9 + 5x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 6 + 9 5x = 6 + 9 Combine like terms: 6 + 9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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