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Simplifying 5(-2 + 4x) + -3(x + -8) = 2x + -7 (-2 * 5 + 4x * 5) + -3(x + -8) = 2x + -7 (-10 + 20x) + -3(x + -8) = 2x + -7 Reorder the terms: -10 + 20x + -3(-8 + x) = 2x + -7 -10 + 20x + (-8 * -3 + x * -3) = 2x + -7 -10 + 20x + (24 + -3x) = 2x + -7 Reorder the terms: -10 + 24 + 20x + -3x = 2x + -7 Combine like terms: -10 + 24 = 14 14 + 20x + -3x = 2x + -7 Combine like terms: 20x + -3x = 17x 14 + 17x = 2x + -7 Reorder the terms: 14 + 17x = -7 + 2x Solving 14 + 17x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 17x + -2x = -7 + 2x + -2x Combine like terms: 17x + -2x = 15x 14 + 15x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 15x = -7 + 0 14 + 15x = -7 Add '-14' to each side of the equation. 14 + -14 + 15x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = -7 + -14 15x = -7 + -14 Combine like terms: -7 + -14 = -21 15x = -21 Divide each side by '15'. x = -1.4 Simplifying x = -1.4
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