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Simplifying 2(x + -3) + 4x = 5(7 + -2x) Reorder the terms: 2(-3 + x) + 4x = 5(7 + -2x) (-3 * 2 + x * 2) + 4x = 5(7 + -2x) (-6 + 2x) + 4x = 5(7 + -2x) Combine like terms: 2x + 4x = 6x -6 + 6x = 5(7 + -2x) -6 + 6x = (7 * 5 + -2x * 5) -6 + 6x = (35 + -10x) Solving -6 + 6x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + 6x + 10x = 35 + -10x + 10x Combine like terms: 6x + 10x = 16x -6 + 16x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 16x = 35 + 0 -6 + 16x = 35 Add '6' to each side of the equation. -6 + 6 + 16x = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 35 + 6 16x = 35 + 6 Combine like terms: 35 + 6 = 41 16x = 41 Divide each side by '16'. x = 2.5625 Simplifying x = 2.5625
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