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Simplifying 3(x + -4) + -5 = 4(x + -9) Reorder the terms: 3(-4 + x) + -5 = 4(x + -9) (-4 * 3 + x * 3) + -5 = 4(x + -9) (-12 + 3x) + -5 = 4(x + -9) Reorder the terms: -12 + -5 + 3x = 4(x + -9) Combine like terms: -12 + -5 = -17 -17 + 3x = 4(x + -9) Reorder the terms: -17 + 3x = 4(-9 + x) -17 + 3x = (-9 * 4 + x * 4) -17 + 3x = (-36 + 4x) Solving -17 + 3x = -36 + 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. -17 + 3x + -4x = -36 + 4x + -4x Combine like terms: 3x + -4x = -1x -17 + -1x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -1x = -36 + 0 -17 + -1x = -36 Add '17' to each side of the equation. -17 + 17 + -1x = -36 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -36 + 17 -1x = -36 + 17 Combine like terms: -36 + 17 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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