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Simplifying 5(x + 7) + 5x = 4(-7 + 5x) + 3x Reorder the terms: 5(7 + x) + 5x = 4(-7 + 5x) + 3x (7 * 5 + x * 5) + 5x = 4(-7 + 5x) + 3x (35 + 5x) + 5x = 4(-7 + 5x) + 3x Combine like terms: 5x + 5x = 10x 35 + 10x = 4(-7 + 5x) + 3x 35 + 10x = (-7 * 4 + 5x * 4) + 3x 35 + 10x = (-28 + 20x) + 3x Combine like terms: 20x + 3x = 23x 35 + 10x = -28 + 23x Solving 35 + 10x = -28 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 35 + 10x + -23x = -28 + 23x + -23x Combine like terms: 10x + -23x = -13x 35 + -13x = -28 + 23x + -23x Combine like terms: 23x + -23x = 0 35 + -13x = -28 + 0 35 + -13x = -28 Add '-35' to each side of the equation. 35 + -35 + -13x = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = -28 + -35 -13x = -28 + -35 Combine like terms: -28 + -35 = -63 -13x = -63 Divide each side by '-13'. x = 4.846153846 Simplifying x = 4.846153846
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