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Simplifying 3(7x + -2) + 4(19 + -3x) = 4(2x + 5) + -12 Reorder the terms: 3(-2 + 7x) + 4(19 + -3x) = 4(2x + 5) + -12 (-2 * 3 + 7x * 3) + 4(19 + -3x) = 4(2x + 5) + -12 (-6 + 21x) + 4(19 + -3x) = 4(2x + 5) + -12 -6 + 21x + (19 * 4 + -3x * 4) = 4(2x + 5) + -12 -6 + 21x + (76 + -12x) = 4(2x + 5) + -12 Reorder the terms: -6 + 76 + 21x + -12x = 4(2x + 5) + -12 Combine like terms: -6 + 76 = 70 70 + 21x + -12x = 4(2x + 5) + -12 Combine like terms: 21x + -12x = 9x 70 + 9x = 4(2x + 5) + -12 Reorder the terms: 70 + 9x = 4(5 + 2x) + -12 70 + 9x = (5 * 4 + 2x * 4) + -12 70 + 9x = (20 + 8x) + -12 Reorder the terms: 70 + 9x = 20 + -12 + 8x Combine like terms: 20 + -12 = 8 70 + 9x = 8 + 8x Solving 70 + 9x = 8 + 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. 70 + 9x + -8x = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x 70 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 70 + 1x = 8 + 0 70 + 1x = 8 Add '-70' to each side of the equation. 70 + -70 + 1x = 8 + -70 Combine like terms: 70 + -70 = 0 0 + 1x = 8 + -70 1x = 8 + -70 Combine like terms: 8 + -70 = -62 1x = -62 Divide each side by '1'. x = -62 Simplifying x = -62
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