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Simplifying 3(5x + -2) + -23 = 11x + 3 Reorder the terms: 3(-2 + 5x) + -23 = 11x + 3 (-2 * 3 + 5x * 3) + -23 = 11x + 3 (-6 + 15x) + -23 = 11x + 3 Reorder the terms: -6 + -23 + 15x = 11x + 3 Combine like terms: -6 + -23 = -29 -29 + 15x = 11x + 3 Reorder the terms: -29 + 15x = 3 + 11x Solving -29 + 15x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -29 + 15x + -11x = 3 + 11x + -11x Combine like terms: 15x + -11x = 4x -29 + 4x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -29 + 4x = 3 + 0 -29 + 4x = 3 Add '29' to each side of the equation. -29 + 29 + 4x = 3 + 29 Combine like terms: -29 + 29 = 0 0 + 4x = 3 + 29 4x = 3 + 29 Combine like terms: 3 + 29 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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