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Simplifying 2(x + -1(4 + 2x) + 3) = 2x + 7 2(x + (4 * -1 + 2x * -1) + 3) = 2x + 7 2(x + (-4 + -2x) + 3) = 2x + 7 Reorder the terms: 2(-4 + 3 + x + -2x) = 2x + 7 Combine like terms: -4 + 3 = -1 2(-1 + x + -2x) = 2x + 7 Combine like terms: x + -2x = -1x 2(-1 + -1x) = 2x + 7 (-1 * 2 + -1x * 2) = 2x + 7 (-2 + -2x) = 2x + 7 Reorder the terms: -2 + -2x = 7 + 2x Solving -2 + -2x = 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. -2 + -2x + -2x = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 7 + 0 -2 + -4x = 7 Add '2' to each side of the equation. -2 + 2 + -4x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 7 + 2 -4x = 7 + 2 Combine like terms: 7 + 2 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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