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Simplifying 5x + -4(2x + 3) = 7x + -2 Reorder the terms: 5x + -4(3 + 2x) = 7x + -2 5x + (3 * -4 + 2x * -4) = 7x + -2 5x + (-12 + -8x) = 7x + -2 Reorder the terms: -12 + 5x + -8x = 7x + -2 Combine like terms: 5x + -8x = -3x -12 + -3x = 7x + -2 Reorder the terms: -12 + -3x = -2 + 7x Solving -12 + -3x = -2 + 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. -12 + -3x + -7x = -2 + 7x + -7x Combine like terms: -3x + -7x = -10x -12 + -10x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -10x = -2 + 0 -12 + -10x = -2 Add '12' to each side of the equation. -12 + 12 + -10x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -2 + 12 -10x = -2 + 12 Combine like terms: -2 + 12 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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