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Simplifying 3(7x + -2) + 4(16 + -3x) = 2(4x + 2) + -2 Reorder the terms: 3(-2 + 7x) + 4(16 + -3x) = 2(4x + 2) + -2 (-2 * 3 + 7x * 3) + 4(16 + -3x) = 2(4x + 2) + -2 (-6 + 21x) + 4(16 + -3x) = 2(4x + 2) + -2 -6 + 21x + (16 * 4 + -3x * 4) = 2(4x + 2) + -2 -6 + 21x + (64 + -12x) = 2(4x + 2) + -2 Reorder the terms: -6 + 64 + 21x + -12x = 2(4x + 2) + -2 Combine like terms: -6 + 64 = 58 58 + 21x + -12x = 2(4x + 2) + -2 Combine like terms: 21x + -12x = 9x 58 + 9x = 2(4x + 2) + -2 Reorder the terms: 58 + 9x = 2(2 + 4x) + -2 58 + 9x = (2 * 2 + 4x * 2) + -2 58 + 9x = (4 + 8x) + -2 Reorder the terms: 58 + 9x = 4 + -2 + 8x Combine like terms: 4 + -2 = 2 58 + 9x = 2 + 8x Solving 58 + 9x = 2 + 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. 58 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 58 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 58 + 1x = 2 + 0 58 + 1x = 2 Add '-58' to each side of the equation. 58 + -58 + 1x = 2 + -58 Combine like terms: 58 + -58 = 0 0 + 1x = 2 + -58 1x = 2 + -58 Combine like terms: 2 + -58 = -56 1x = -56 Divide each side by '1'. x = -56 Simplifying x = -56
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