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Simplifying 4(5x + -5) + 3(14 + -5x) + -2(2x + 5) = -7 Reorder the terms: 4(-5 + 5x) + 3(14 + -5x) + -2(2x + 5) = -7 (-5 * 4 + 5x * 4) + 3(14 + -5x) + -2(2x + 5) = -7 (-20 + 20x) + 3(14 + -5x) + -2(2x + 5) = -7 -20 + 20x + (14 * 3 + -5x * 3) + -2(2x + 5) = -7 -20 + 20x + (42 + -15x) + -2(2x + 5) = -7 Reorder the terms: -20 + 20x + 42 + -15x + -2(5 + 2x) = -7 -20 + 20x + 42 + -15x + (5 * -2 + 2x * -2) = -7 -20 + 20x + 42 + -15x + (-10 + -4x) = -7 Reorder the terms: -20 + 42 + -10 + 20x + -15x + -4x = -7 Combine like terms: -20 + 42 = 22 22 + -10 + 20x + -15x + -4x = -7 Combine like terms: 22 + -10 = 12 12 + 20x + -15x + -4x = -7 Combine like terms: 20x + -15x = 5x 12 + 5x + -4x = -7 Combine like terms: 5x + -4x = 1x 12 + 1x = -7 Solving 12 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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