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Simplifying 5 + -2(3x + 1) = 4(2x + -5) Reorder the terms: 5 + -2(1 + 3x) = 4(2x + -5) 5 + (1 * -2 + 3x * -2) = 4(2x + -5) 5 + (-2 + -6x) = 4(2x + -5) Combine like terms: 5 + -2 = 3 3 + -6x = 4(2x + -5) Reorder the terms: 3 + -6x = 4(-5 + 2x) 3 + -6x = (-5 * 4 + 2x * 4) 3 + -6x = (-20 + 8x) Solving 3 + -6x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + -6x + -8x = -20 + 8x + -8x Combine like terms: -6x + -8x = -14x 3 + -14x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -14x = -20 + 0 3 + -14x = -20 Add '-3' to each side of the equation. 3 + -3 + -14x = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = -20 + -3 -14x = -20 + -3 Combine like terms: -20 + -3 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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