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Simplifying 3x + -4(5 + x) = 7(5 + -2x) + 8 3x + (5 * -4 + x * -4) = 7(5 + -2x) + 8 3x + (-20 + -4x) = 7(5 + -2x) + 8 Reorder the terms: -20 + 3x + -4x = 7(5 + -2x) + 8 Combine like terms: 3x + -4x = -1x -20 + -1x = 7(5 + -2x) + 8 -20 + -1x = (5 * 7 + -2x * 7) + 8 -20 + -1x = (35 + -14x) + 8 Reorder the terms: -20 + -1x = 35 + 8 + -14x Combine like terms: 35 + 8 = 43 -20 + -1x = 43 + -14x Solving -20 + -1x = 43 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -20 + -1x + 14x = 43 + -14x + 14x Combine like terms: -1x + 14x = 13x -20 + 13x = 43 + -14x + 14x Combine like terms: -14x + 14x = 0 -20 + 13x = 43 + 0 -20 + 13x = 43 Add '20' to each side of the equation. -20 + 20 + 13x = 43 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 43 + 20 13x = 43 + 20 Combine like terms: 43 + 20 = 63 13x = 63 Divide each side by '13'. x = 4.846153846 Simplifying x = 4.846153846
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