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Simplifying 5 + -4(3x + -2) = 2 + 3(2x + -5) Reorder the terms: 5 + -4(-2 + 3x) = 2 + 3(2x + -5) 5 + (-2 * -4 + 3x * -4) = 2 + 3(2x + -5) 5 + (8 + -12x) = 2 + 3(2x + -5) Combine like terms: 5 + 8 = 13 13 + -12x = 2 + 3(2x + -5) Reorder the terms: 13 + -12x = 2 + 3(-5 + 2x) 13 + -12x = 2 + (-5 * 3 + 2x * 3) 13 + -12x = 2 + (-15 + 6x) Combine like terms: 2 + -15 = -13 13 + -12x = -13 + 6x Solving 13 + -12x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -12x + -6x = -13 + 6x + -6x Combine like terms: -12x + -6x = -18x 13 + -18x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -18x = -13 + 0 13 + -18x = -13 Add '-13' to each side of the equation. 13 + -13 + -18x = -13 + -13 Combine like terms: 13 + -13 = 0 0 + -18x = -13 + -13 -18x = -13 + -13 Combine like terms: -13 + -13 = -26 -18x = -26 Divide each side by '-18'. x = 1.444444444 Simplifying x = 1.444444444
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