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Simplifying 6(3x + 1) + -14(2 + -4x) = 3(-5x + -4) + 49x Reorder the terms: 6(1 + 3x) + -14(2 + -4x) = 3(-5x + -4) + 49x (1 * 6 + 3x * 6) + -14(2 + -4x) = 3(-5x + -4) + 49x (6 + 18x) + -14(2 + -4x) = 3(-5x + -4) + 49x 6 + 18x + (2 * -14 + -4x * -14) = 3(-5x + -4) + 49x 6 + 18x + (-28 + 56x) = 3(-5x + -4) + 49x Reorder the terms: 6 + -28 + 18x + 56x = 3(-5x + -4) + 49x Combine like terms: 6 + -28 = -22 -22 + 18x + 56x = 3(-5x + -4) + 49x Combine like terms: 18x + 56x = 74x -22 + 74x = 3(-5x + -4) + 49x Reorder the terms: -22 + 74x = 3(-4 + -5x) + 49x -22 + 74x = (-4 * 3 + -5x * 3) + 49x -22 + 74x = (-12 + -15x) + 49x Combine like terms: -15x + 49x = 34x -22 + 74x = -12 + 34x Solving -22 + 74x = -12 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -22 + 74x + -34x = -12 + 34x + -34x Combine like terms: 74x + -34x = 40x -22 + 40x = -12 + 34x + -34x Combine like terms: 34x + -34x = 0 -22 + 40x = -12 + 0 -22 + 40x = -12 Add '22' to each side of the equation. -22 + 22 + 40x = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 40x = -12 + 22 40x = -12 + 22 Combine like terms: -12 + 22 = 10 40x = 10 Divide each side by '40'. x = 0.25 Simplifying x = 0.25
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