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Simplifying 4(4x + 3) = 2x + -5(3 + -1x) + 2 Reorder the terms: 4(3 + 4x) = 2x + -5(3 + -1x) + 2 (3 * 4 + 4x * 4) = 2x + -5(3 + -1x) + 2 (12 + 16x) = 2x + -5(3 + -1x) + 2 12 + 16x = 2x + (3 * -5 + -1x * -5) + 2 12 + 16x = 2x + (-15 + 5x) + 2 Reorder the terms: 12 + 16x = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 12 + 16x = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 12 + 16x = -13 + 7x Solving 12 + 16x = -13 + 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 + 16x + -7x = -13 + 7x + -7x Combine like terms: 16x + -7x = 9x 12 + 9x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 9x = -13 + 0 12 + 9x = -13 Add '-12' to each side of the equation. 12 + -12 + 9x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -13 + -12 9x = -13 + -12 Combine like terms: -13 + -12 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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