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Simplifying 5(3x + -1) + -3(2x + -12) = 8x + 4 Reorder the terms: 5(-1 + 3x) + -3(2x + -12) = 8x + 4 (-1 * 5 + 3x * 5) + -3(2x + -12) = 8x + 4 (-5 + 15x) + -3(2x + -12) = 8x + 4 Reorder the terms: -5 + 15x + -3(-12 + 2x) = 8x + 4 -5 + 15x + (-12 * -3 + 2x * -3) = 8x + 4 -5 + 15x + (36 + -6x) = 8x + 4 Reorder the terms: -5 + 36 + 15x + -6x = 8x + 4 Combine like terms: -5 + 36 = 31 31 + 15x + -6x = 8x + 4 Combine like terms: 15x + -6x = 9x 31 + 9x = 8x + 4 Reorder the terms: 31 + 9x = 4 + 8x Solving 31 + 9x = 4 + 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. 31 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 31 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + 1x = 4 + 0 31 + 1x = 4 Add '-31' to each side of the equation. 31 + -31 + 1x = 4 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 4 + -31 1x = 4 + -31 Combine like terms: 4 + -31 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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