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Simplifying -3(x + -1) + 8(x + -3) = 4(7x + 4) + -4 Reorder the terms: -3(-1 + x) + 8(x + -3) = 4(7x + 4) + -4 (-1 * -3 + x * -3) + 8(x + -3) = 4(7x + 4) + -4 (3 + -3x) + 8(x + -3) = 4(7x + 4) + -4 Reorder the terms: 3 + -3x + 8(-3 + x) = 4(7x + 4) + -4 3 + -3x + (-3 * 8 + x * 8) = 4(7x + 4) + -4 3 + -3x + (-24 + 8x) = 4(7x + 4) + -4 Reorder the terms: 3 + -24 + -3x + 8x = 4(7x + 4) + -4 Combine like terms: 3 + -24 = -21 -21 + -3x + 8x = 4(7x + 4) + -4 Combine like terms: -3x + 8x = 5x -21 + 5x = 4(7x + 4) + -4 Reorder the terms: -21 + 5x = 4(4 + 7x) + -4 -21 + 5x = (4 * 4 + 7x * 4) + -4 -21 + 5x = (16 + 28x) + -4 Reorder the terms: -21 + 5x = 16 + -4 + 28x Combine like terms: 16 + -4 = 12 -21 + 5x = 12 + 28x Solving -21 + 5x = 12 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -21 + 5x + -28x = 12 + 28x + -28x Combine like terms: 5x + -28x = -23x -21 + -23x = 12 + 28x + -28x Combine like terms: 28x + -28x = 0 -21 + -23x = 12 + 0 -21 + -23x = 12 Add '21' to each side of the equation. -21 + 21 + -23x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -23x = 12 + 21 -23x = 12 + 21 Combine like terms: 12 + 21 = 33 -23x = 33 Divide each side by '-23'. x = -1.434782609 Simplifying x = -1.434782609
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