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Simplifying 3x + -5(x + -4) = -7 + 4x + -3 Reorder the terms: 3x + -5(-4 + x) = -7 + 4x + -3 3x + (-4 * -5 + x * -5) = -7 + 4x + -3 3x + (20 + -5x) = -7 + 4x + -3 Reorder the terms: 20 + 3x + -5x = -7 + 4x + -3 Combine like terms: 3x + -5x = -2x 20 + -2x = -7 + 4x + -3 Reorder the terms: 20 + -2x = -7 + -3 + 4x Combine like terms: -7 + -3 = -10 20 + -2x = -10 + 4x Solving 20 + -2x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -2x + -4x = -10 + 4x + -4x Combine like terms: -2x + -4x = -6x 20 + -6x = -10 + 4x + -4x Combine like terms: 4x + -4x = 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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