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Simplifying [-5x + 6(-3 + -4x)] + x = 2x + 1 [-5x + (-3 * 6 + -4x * 6)] + x = 2x + 1 [-5x + (-18 + -24x)] + x = 2x + 1 Reorder the terms: [-18 + -5x + -24x] + x = 2x + 1 Combine like terms: -5x + -24x = -29x [-18 + -29x] + x = 2x + 1 Remove brackets around [-18 + -29x] -18 + -29x + x = 2x + 1 Combine like terms: -29x + x = -28x -18 + -28x = 2x + 1 Reorder the terms: -18 + -28x = 1 + 2x Solving -18 + -28x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -28x + -2x = 1 + 2x + -2x Combine like terms: -28x + -2x = -30x -18 + -30x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -30x = 1 + 0 -18 + -30x = 1 Add '18' to each side of the equation. -18 + 18 + -30x = 1 + 18 Combine like terms: -18 + 18 = 0 0 + -30x = 1 + 18 -30x = 1 + 18 Combine like terms: 1 + 18 = 19 -30x = 19 Divide each side by '-30'. x = -0.6333333333 Simplifying x = -0.6333333333
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