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Simplifying (-3)(x + -1) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -3(-1 + x) + 8(x + -3) = 6x + 7 + -5x (-1 * -3 + x * -3) + 8(x + -3) = 6x + 7 + -5x (3 + -3x) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 3 + -3x + 8(-3 + x) = 6x + 7 + -5x 3 + -3x + (-3 * 8 + x * 8) = 6x + 7 + -5x 3 + -3x + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: 3 + -24 + -3x + 8x = 6x + 7 + -5x Combine like terms: 3 + -24 = -21 -21 + -3x + 8x = 6x + 7 + -5x Combine like terms: -3x + 8x = 5x -21 + 5x = 6x + 7 + -5x Reorder the terms: -21 + 5x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -21 + 5x = 7 + 1x Solving -21 + 5x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 5x + -1x = 7 + 1x + -1x Combine like terms: 5x + -1x = 4x -21 + 4x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + 4x = 7 + 0 -21 + 4x = 7 Add '21' to each side of the equation. -21 + 21 + 4x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 7 + 21 4x = 7 + 21 Combine like terms: 7 + 21 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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