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Simplifying 7(x + -3) = 4(2x + -1) + 4 Reorder the terms: 7(-3 + x) = 4(2x + -1) + 4 (-3 * 7 + x * 7) = 4(2x + -1) + 4 (-21 + 7x) = 4(2x + -1) + 4 Reorder the terms: -21 + 7x = 4(-1 + 2x) + 4 -21 + 7x = (-1 * 4 + 2x * 4) + 4 -21 + 7x = (-4 + 8x) + 4 Reorder the terms: -21 + 7x = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 -21 + 7x = 0 + 8x -21 + 7x = 8x Solving -21 + 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -21 + -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -1x = 0 Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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