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Simplifying 4(6x + -4) + -3(5x + -17) = 2(4x + 2) + -1 Reorder the terms: 4(-4 + 6x) + -3(5x + -17) = 2(4x + 2) + -1 (-4 * 4 + 6x * 4) + -3(5x + -17) = 2(4x + 2) + -1 (-16 + 24x) + -3(5x + -17) = 2(4x + 2) + -1 Reorder the terms: -16 + 24x + -3(-17 + 5x) = 2(4x + 2) + -1 -16 + 24x + (-17 * -3 + 5x * -3) = 2(4x + 2) + -1 -16 + 24x + (51 + -15x) = 2(4x + 2) + -1 Reorder the terms: -16 + 51 + 24x + -15x = 2(4x + 2) + -1 Combine like terms: -16 + 51 = 35 35 + 24x + -15x = 2(4x + 2) + -1 Combine like terms: 24x + -15x = 9x 35 + 9x = 2(4x + 2) + -1 Reorder the terms: 35 + 9x = 2(2 + 4x) + -1 35 + 9x = (2 * 2 + 4x * 2) + -1 35 + 9x = (4 + 8x) + -1 Reorder the terms: 35 + 9x = 4 + -1 + 8x Combine like terms: 4 + -1 = 3 35 + 9x = 3 + 8x Solving 35 + 9x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 9x + -8x = 3 + 8x + -8x Combine like terms: 9x + -8x = 1x 35 + 1x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 1x = 3 + 0 35 + 1x = 3 Add '-35' to each side of the equation. 35 + -35 + 1x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 3 + -35 1x = 3 + -35 Combine like terms: 3 + -35 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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