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Simplifying 4(6x + -4) + 3(12 + -5x) = 4(2x + 4) + -6 Reorder the terms: 4(-4 + 6x) + 3(12 + -5x) = 4(2x + 4) + -6 (-4 * 4 + 6x * 4) + 3(12 + -5x) = 4(2x + 4) + -6 (-16 + 24x) + 3(12 + -5x) = 4(2x + 4) + -6 -16 + 24x + (12 * 3 + -5x * 3) = 4(2x + 4) + -6 -16 + 24x + (36 + -15x) = 4(2x + 4) + -6 Reorder the terms: -16 + 36 + 24x + -15x = 4(2x + 4) + -6 Combine like terms: -16 + 36 = 20 20 + 24x + -15x = 4(2x + 4) + -6 Combine like terms: 24x + -15x = 9x 20 + 9x = 4(2x + 4) + -6 Reorder the terms: 20 + 9x = 4(4 + 2x) + -6 20 + 9x = (4 * 4 + 2x * 4) + -6 20 + 9x = (16 + 8x) + -6 Reorder the terms: 20 + 9x = 16 + -6 + 8x Combine like terms: 16 + -6 = 10 20 + 9x = 10 + 8x Solving 20 + 9x = 10 + 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. 20 + 9x + -8x = 10 + 8x + -8x Combine like terms: 9x + -8x = 1x 20 + 1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 1x = 10 + 0 20 + 1x = 10 Add '-20' to each side of the equation. 20 + -20 + 1x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 10 + -20 1x = 10 + -20 Combine like terms: 10 + -20 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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