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Simplifying 8(x + 2) + -3(3x + -1) = 4x + 4 Reorder the terms: 8(2 + x) + -3(3x + -1) = 4x + 4 (2 * 8 + x * 8) + -3(3x + -1) = 4x + 4 (16 + 8x) + -3(3x + -1) = 4x + 4 Reorder the terms: 16 + 8x + -3(-1 + 3x) = 4x + 4 16 + 8x + (-1 * -3 + 3x * -3) = 4x + 4 16 + 8x + (3 + -9x) = 4x + 4 Reorder the terms: 16 + 3 + 8x + -9x = 4x + 4 Combine like terms: 16 + 3 = 19 19 + 8x + -9x = 4x + 4 Combine like terms: 8x + -9x = -1x 19 + -1x = 4x + 4 Reorder the terms: 19 + -1x = 4 + 4x Solving 19 + -1x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 19 + -1x + -4x = 4 + 4x + -4x Combine like terms: -1x + -4x = -5x 19 + -5x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -5x = 4 + 0 19 + -5x = 4 Add '-19' to each side of the equation. 19 + -19 + -5x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 4 + -19 -5x = 4 + -19 Combine like terms: 4 + -19 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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