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Simplifying 2(x + 1) + 4x + -5 = 4(2x + -6) Reorder the terms: 2(1 + x) + 4x + -5 = 4(2x + -6) (1 * 2 + x * 2) + 4x + -5 = 4(2x + -6) (2 + 2x) + 4x + -5 = 4(2x + -6) Reorder the terms: 2 + -5 + 2x + 4x = 4(2x + -6) Combine like terms: 2 + -5 = -3 -3 + 2x + 4x = 4(2x + -6) Combine like terms: 2x + 4x = 6x -3 + 6x = 4(2x + -6) Reorder the terms: -3 + 6x = 4(-6 + 2x) -3 + 6x = (-6 * 4 + 2x * 4) -3 + 6x = (-24 + 8x) Solving -3 + 6x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 6x + -8x = -24 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = -24 + 0 -3 + -2x = -24 Add '3' to each side of the equation. -3 + 3 + -2x = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -24 + 3 -2x = -24 + 3 Combine like terms: -24 + 3 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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