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Simplifying 4(2x + 1) + 6(9x + -2) = 3(5x + -4) + 4 Reorder the terms: 4(1 + 2x) + 6(9x + -2) = 3(5x + -4) + 4 (1 * 4 + 2x * 4) + 6(9x + -2) = 3(5x + -4) + 4 (4 + 8x) + 6(9x + -2) = 3(5x + -4) + 4 Reorder the terms: 4 + 8x + 6(-2 + 9x) = 3(5x + -4) + 4 4 + 8x + (-2 * 6 + 9x * 6) = 3(5x + -4) + 4 4 + 8x + (-12 + 54x) = 3(5x + -4) + 4 Reorder the terms: 4 + -12 + 8x + 54x = 3(5x + -4) + 4 Combine like terms: 4 + -12 = -8 -8 + 8x + 54x = 3(5x + -4) + 4 Combine like terms: 8x + 54x = 62x -8 + 62x = 3(5x + -4) + 4 Reorder the terms: -8 + 62x = 3(-4 + 5x) + 4 -8 + 62x = (-4 * 3 + 5x * 3) + 4 -8 + 62x = (-12 + 15x) + 4 Reorder the terms: -8 + 62x = -12 + 4 + 15x Combine like terms: -12 + 4 = -8 -8 + 62x = -8 + 15x Add '8' to each side of the equation. -8 + 8 + 62x = -8 + 8 + 15x Combine like terms: -8 + 8 = 0 0 + 62x = -8 + 8 + 15x 62x = -8 + 8 + 15x Combine like terms: -8 + 8 = 0 62x = 0 + 15x 62x = 15x Solving 62x = 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. 62x + -15x = 15x + -15x Combine like terms: 62x + -15x = 47x 47x = 15x + -15x Combine like terms: 15x + -15x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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