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Simplifying 2(x + -1) + 7 + -3 = 4x + -3(2x + -4) Reorder the terms: 2(-1 + x) + 7 + -3 = 4x + -3(2x + -4) (-1 * 2 + x * 2) + 7 + -3 = 4x + -3(2x + -4) (-2 + 2x) + 7 + -3 = 4x + -3(2x + -4) Reorder the terms: -2 + 7 + -3 + 2x = 4x + -3(2x + -4) Combine like terms: -2 + 7 = 5 5 + -3 + 2x = 4x + -3(2x + -4) Combine like terms: 5 + -3 = 2 2 + 2x = 4x + -3(2x + -4) Reorder the terms: 2 + 2x = 4x + -3(-4 + 2x) 2 + 2x = 4x + (-4 * -3 + 2x * -3) 2 + 2x = 4x + (12 + -6x) Reorder the terms: 2 + 2x = 12 + 4x + -6x Combine like terms: 4x + -6x = -2x 2 + 2x = 12 + -2x Solving 2 + 2x = 12 + -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 = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 12 + 0 2 + 4x = 12 Add '-2' to each side of the equation. 2 + -2 + 4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 12 + -2 4x = 12 + -2 Combine like terms: 12 + -2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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