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Simplifying -4(-2x + 6) + 10 = 4x + 3(5x + -1) Reorder the terms: -4(6 + -2x) + 10 = 4x + 3(5x + -1) (6 * -4 + -2x * -4) + 10 = 4x + 3(5x + -1) (-24 + 8x) + 10 = 4x + 3(5x + -1) Reorder the terms: -24 + 10 + 8x = 4x + 3(5x + -1) Combine like terms: -24 + 10 = -14 -14 + 8x = 4x + 3(5x + -1) Reorder the terms: -14 + 8x = 4x + 3(-1 + 5x) -14 + 8x = 4x + (-1 * 3 + 5x * 3) -14 + 8x = 4x + (-3 + 15x) Reorder the terms: -14 + 8x = -3 + 4x + 15x Combine like terms: 4x + 15x = 19x -14 + 8x = -3 + 19x Solving -14 + 8x = -3 + 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. -14 + 8x + -19x = -3 + 19x + -19x Combine like terms: 8x + -19x = -11x -14 + -11x = -3 + 19x + -19x Combine like terms: 19x + -19x = 0 -14 + -11x = -3 + 0 -14 + -11x = -3 Add '14' to each side of the equation. -14 + 14 + -11x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -11x = -3 + 14 -11x = -3 + 14 Combine like terms: -3 + 14 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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