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Simplifying 4(2x + 1) + 6(9x + -2) = 3(5x + -4) + 14 Reorder the terms: 4(1 + 2x) + 6(9x + -2) = 3(5x + -4) + 14 (1 * 4 + 2x * 4) + 6(9x + -2) = 3(5x + -4) + 14 (4 + 8x) + 6(9x + -2) = 3(5x + -4) + 14 Reorder the terms: 4 + 8x + 6(-2 + 9x) = 3(5x + -4) + 14 4 + 8x + (-2 * 6 + 9x * 6) = 3(5x + -4) + 14 4 + 8x + (-12 + 54x) = 3(5x + -4) + 14 Reorder the terms: 4 + -12 + 8x + 54x = 3(5x + -4) + 14 Combine like terms: 4 + -12 = -8 -8 + 8x + 54x = 3(5x + -4) + 14 Combine like terms: 8x + 54x = 62x -8 + 62x = 3(5x + -4) + 14 Reorder the terms: -8 + 62x = 3(-4 + 5x) + 14 -8 + 62x = (-4 * 3 + 5x * 3) + 14 -8 + 62x = (-12 + 15x) + 14 Reorder the terms: -8 + 62x = -12 + 14 + 15x Combine like terms: -12 + 14 = 2 -8 + 62x = 2 + 15x Solving -8 + 62x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 62x + -15x = 2 + 15x + -15x Combine like terms: 62x + -15x = 47x -8 + 47x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + 47x = 2 + 0 -8 + 47x = 2 Add '8' to each side of the equation. -8 + 8 + 47x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 47x = 2 + 8 47x = 2 + 8 Combine like terms: 2 + 8 = 10 47x = 10 Divide each side by '47'. x = 0.2127659574 Simplifying x = 0.2127659574
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