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