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Simplifying 2(x + -3) = 5 + 4(x + -7) Reorder the terms: 2(-3 + x) = 5 + 4(x + -7) (-3 * 2 + x * 2) = 5 + 4(x + -7) (-6 + 2x) = 5 + 4(x + -7) Reorder the terms: -6 + 2x = 5 + 4(-7 + x) -6 + 2x = 5 + (-7 * 4 + x * 4) -6 + 2x = 5 + (-28 + 4x) Combine like terms: 5 + -28 = -23 -6 + 2x = -23 + 4x Solving -6 + 2x = -23 + 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. -6 + 2x + -4x = -23 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = -23 + 0 -6 + -2x = -23 Add '6' to each side of the equation. -6 + 6 + -2x = -23 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -23 + 6 -2x = -23 + 6 Combine like terms: -23 + 6 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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