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Simplifying 3(x + -3) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 3(-3 + x) + 8(x + -3) = 6x + 7 + -5x (-3 * 3 + x * 3) + 8(x + -3) = 6x + 7 + -5x (-9 + 3x) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -9 + 3x + 8(-3 + x) = 6x + 7 + -5x -9 + 3x + (-3 * 8 + x * 8) = 6x + 7 + -5x -9 + 3x + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: -9 + -24 + 3x + 8x = 6x + 7 + -5x Combine like terms: -9 + -24 = -33 -33 + 3x + 8x = 6x + 7 + -5x Combine like terms: 3x + 8x = 11x -33 + 11x = 6x + 7 + -5x Reorder the terms: -33 + 11x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -33 + 11x = 7 + 1x Solving -33 + 11x = 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. -33 + 11x + -1x = 7 + 1x + -1x Combine like terms: 11x + -1x = 10x -33 + 10x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -33 + 10x = 7 + 0 -33 + 10x = 7 Add '33' to each side of the equation. -33 + 33 + 10x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 7 + 33 10x = 7 + 33 Combine like terms: 7 + 33 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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