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Simplifying 4x + 6 + -3(x + -5) = 5(7 + -1x) Reorder the terms: 4x + 6 + -3(-5 + x) = 5(7 + -1x) 4x + 6 + (-5 * -3 + x * -3) = 5(7 + -1x) 4x + 6 + (15 + -3x) = 5(7 + -1x) Reorder the terms: 6 + 15 + 4x + -3x = 5(7 + -1x) Combine like terms: 6 + 15 = 21 21 + 4x + -3x = 5(7 + -1x) Combine like terms: 4x + -3x = 1x 21 + 1x = 5(7 + -1x) 21 + 1x = (7 * 5 + -1x * 5) 21 + 1x = (35 + -5x) Solving 21 + 1x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 1x + 5x = 35 + -5x + 5x Combine like terms: 1x + 5x = 6x 21 + 6x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 6x = 35 + 0 21 + 6x = 35 Add '-21' to each side of the equation. 21 + -21 + 6x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 35 + -21 6x = 35 + -21 Combine like terms: 35 + -21 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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