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Simplifying 5x + -4(x + -5) = 7(x + -2) + 4 Reorder the terms: 5x + -4(-5 + x) = 7(x + -2) + 4 5x + (-5 * -4 + x * -4) = 7(x + -2) + 4 5x + (20 + -4x) = 7(x + -2) + 4 Reorder the terms: 20 + 5x + -4x = 7(x + -2) + 4 Combine like terms: 5x + -4x = 1x 20 + 1x = 7(x + -2) + 4 Reorder the terms: 20 + 1x = 7(-2 + x) + 4 20 + 1x = (-2 * 7 + x * 7) + 4 20 + 1x = (-14 + 7x) + 4 Reorder the terms: 20 + 1x = -14 + 4 + 7x Combine like terms: -14 + 4 = -10 20 + 1x = -10 + 7x Solving 20 + 1x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 1x + -7x = -10 + 7x + -7x Combine like terms: 1x + -7x = -6x 20 + -6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -6x = -10 + 0 20 + -6x = -10 Add '-20' to each side of the equation. 20 + -20 + -6x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -10 + -20 -6x = -10 + -20 Combine like terms: -10 + -20 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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