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Simplifying 4(3 + -5x) + 4x = 2x + 7 (3 * 4 + -5x * 4) + 4x = 2x + 7 (12 + -20x) + 4x = 2x + 7 Combine like terms: -20x + 4x = -16x 12 + -16x = 2x + 7 Reorder the terms: 12 + -16x = 7 + 2x Solving 12 + -16x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -16x + -2x = 7 + 2x + -2x Combine like terms: -16x + -2x = -18x 12 + -18x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -18x = 7 + 0 12 + -18x = 7 Add '-12' to each side of the equation. 12 + -12 + -18x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 7 + -12 -18x = 7 + -12 Combine like terms: 7 + -12 = -5 -18x = -5 Divide each side by '-18'. x = 0.2777777778 Simplifying x = 0.2777777778
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