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Simplifying 7x + -4(2x + -5) = 3(5x + -2) + -6 Reorder the terms: 7x + -4(-5 + 2x) = 3(5x + -2) + -6 7x + (-5 * -4 + 2x * -4) = 3(5x + -2) + -6 7x + (20 + -8x) = 3(5x + -2) + -6 Reorder the terms: 20 + 7x + -8x = 3(5x + -2) + -6 Combine like terms: 7x + -8x = -1x 20 + -1x = 3(5x + -2) + -6 Reorder the terms: 20 + -1x = 3(-2 + 5x) + -6 20 + -1x = (-2 * 3 + 5x * 3) + -6 20 + -1x = (-6 + 15x) + -6 Reorder the terms: 20 + -1x = -6 + -6 + 15x Combine like terms: -6 + -6 = -12 20 + -1x = -12 + 15x Solving 20 + -1x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + -1x + -15x = -12 + 15x + -15x Combine like terms: -1x + -15x = -16x 20 + -16x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -16x = -12 + 0 20 + -16x = -12 Add '-20' to each side of the equation. 20 + -20 + -16x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -16x = -12 + -20 -16x = -12 + -20 Combine like terms: -12 + -20 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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