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Simplifying 5x + 3(x + -7) = 2x + 3 Reorder the terms: 5x + 3(-7 + x) = 2x + 3 5x + (-7 * 3 + x * 3) = 2x + 3 5x + (-21 + 3x) = 2x + 3 Reorder the terms: -21 + 5x + 3x = 2x + 3 Combine like terms: 5x + 3x = 8x -21 + 8x = 2x + 3 Reorder the terms: -21 + 8x = 3 + 2x Solving -21 + 8x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 8x + -2x = 3 + 2x + -2x Combine like terms: 8x + -2x = 6x -21 + 6x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 6x = 3 + 0 -21 + 6x = 3 Add '21' to each side of the equation. -21 + 21 + 6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 3 + 21 6x = 3 + 21 Combine like terms: 3 + 21 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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