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Simplifying 2(x + -5) + 9 = 4x + -2(-1x + x) Reorder the terms: 2(-5 + x) + 9 = 4x + -2(-1x + x) (-5 * 2 + x * 2) + 9 = 4x + -2(-1x + x) (-10 + 2x) + 9 = 4x + -2(-1x + x) Reorder the terms: -10 + 9 + 2x = 4x + -2(-1x + x) Combine like terms: -10 + 9 = -1 -1 + 2x = 4x + -2(-1x + x) Combine like terms: -1x + x = 0 -1 + 2x = 4x + -2(0) Multiply -2 * 0 -1 + 2x = 4x + 0 Anything times zero is zero. -1 + 2x = 4x + 0 Reorder the terms: -1 + 2x = 0 + 4x Remove the zero: -1 + 2x = 4x Solving -1 + 2x = 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 = 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -2x = 0 Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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