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Simplifying 5x + -3(x + -7) = (4x + 3) + -5 Reorder the terms: 5x + -3(-7 + x) = (4x + 3) + -5 5x + (-7 * -3 + x * -3) = (4x + 3) + -5 5x + (21 + -3x) = (4x + 3) + -5 Reorder the terms: 21 + 5x + -3x = (4x + 3) + -5 Combine like terms: 5x + -3x = 2x 21 + 2x = (4x + 3) + -5 Reorder the terms: 21 + 2x = (3 + 4x) + -5 Remove parenthesis around (3 + 4x) 21 + 2x = 3 + 4x + -5 Reorder the terms: 21 + 2x = 3 + -5 + 4x Combine like terms: 3 + -5 = -2 21 + 2x = -2 + 4x Solving 21 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 21 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -2x = -2 + 0 21 + -2x = -2 Add '-21' to each side of the equation. 21 + -21 + -2x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -2 + -21 -2x = -2 + -21 Combine like terms: -2 + -21 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5
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