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Simplifying 2(x + -2) + 5 = 4(x + -6) + 3 Reorder the terms: 2(-2 + x) + 5 = 4(x + -6) + 3 (-2 * 2 + x * 2) + 5 = 4(x + -6) + 3 (-4 + 2x) + 5 = 4(x + -6) + 3 Reorder the terms: -4 + 5 + 2x = 4(x + -6) + 3 Combine like terms: -4 + 5 = 1 1 + 2x = 4(x + -6) + 3 Reorder the terms: 1 + 2x = 4(-6 + x) + 3 1 + 2x = (-6 * 4 + x * 4) + 3 1 + 2x = (-24 + 4x) + 3 Reorder the terms: 1 + 2x = -24 + 3 + 4x Combine like terms: -24 + 3 = -21 1 + 2x = -21 + 4x Solving 1 + 2x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x = -21 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x = -21 + 0 1 + -2x = -21 Add '-1' to each side of the equation. 1 + -1 + -2x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -21 + -1 -2x = -21 + -1 Combine like terms: -21 + -1 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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