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Simplifying 2 = 4(x + -4) + -1(x + -9) Reorder the terms: 2 = 4(-4 + x) + -1(x + -9) 2 = (-4 * 4 + x * 4) + -1(x + -9) 2 = (-16 + 4x) + -1(x + -9) Reorder the terms: 2 = -16 + 4x + -1(-9 + x) 2 = -16 + 4x + (-9 * -1 + x * -1) 2 = -16 + 4x + (9 + -1x) Reorder the terms: 2 = -16 + 9 + 4x + -1x Combine like terms: -16 + 9 = -7 2 = -7 + 4x + -1x Combine like terms: 4x + -1x = 3x 2 = -7 + 3x Solving 2 = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -3x = -7 + 0 2 + -3x = -7 Add '-2' to each side of the equation. 2 + -2 + -3x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -7 + -2 -3x = -7 + -2 Combine like terms: -7 + -2 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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