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Simplifying 4x + -4(5x + -2) = 2x + -7 Reorder the terms: 4x + -4(-2 + 5x) = 2x + -7 4x + (-2 * -4 + 5x * -4) = 2x + -7 4x + (8 + -20x) = 2x + -7 Reorder the terms: 8 + 4x + -20x = 2x + -7 Combine like terms: 4x + -20x = -16x 8 + -16x = 2x + -7 Reorder the terms: 8 + -16x = -7 + 2x Solving 8 + -16x = -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. 8 + -16x + -2x = -7 + 2x + -2x Combine like terms: -16x + -2x = -18x 8 + -18x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -18x = -7 + 0 8 + -18x = -7 Add '-8' to each side of the equation. 8 + -8 + -18x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -7 + -8 -18x = -7 + -8 Combine like terms: -7 + -8 = -15 -18x = -15 Divide each side by '-18'. x = 0.8333333333 Simplifying x = 0.8333333333
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