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Simplifying 3(x + -7) = 6(x + 4) + -1x Reorder the terms: 3(-7 + x) = 6(x + 4) + -1x (-7 * 3 + x * 3) = 6(x + 4) + -1x (-21 + 3x) = 6(x + 4) + -1x Reorder the terms: -21 + 3x = 6(4 + x) + -1x -21 + 3x = (4 * 6 + x * 6) + -1x -21 + 3x = (24 + 6x) + -1x Combine like terms: 6x + -1x = 5x -21 + 3x = 24 + 5x Solving -21 + 3x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 3x + -5x = 24 + 5x + -5x Combine like terms: 3x + -5x = -2x -21 + -2x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -2x = 24 + 0 -21 + -2x = 24 Add '21' to each side of the equation. -21 + 21 + -2x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 24 + 21 -2x = 24 + 21 Combine like terms: 24 + 21 = 45 -2x = 45 Divide each side by '-2'. x = -22.5 Simplifying x = -22.5
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