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Simplifying 5(x + -9) + -3x = 4(x + -3) + -1 Reorder the terms: 5(-9 + x) + -3x = 4(x + -3) + -1 (-9 * 5 + x * 5) + -3x = 4(x + -3) + -1 (-45 + 5x) + -3x = 4(x + -3) + -1 Combine like terms: 5x + -3x = 2x -45 + 2x = 4(x + -3) + -1 Reorder the terms: -45 + 2x = 4(-3 + x) + -1 -45 + 2x = (-3 * 4 + x * 4) + -1 -45 + 2x = (-12 + 4x) + -1 Reorder the terms: -45 + 2x = -12 + -1 + 4x Combine like terms: -12 + -1 = -13 -45 + 2x = -13 + 4x Solving -45 + 2x = -13 + 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. -45 + 2x + -4x = -13 + 4x + -4x Combine like terms: 2x + -4x = -2x -45 + -2x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + -2x = -13 + 0 -45 + -2x = -13 Add '45' to each side of the equation. -45 + 45 + -2x = -13 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = -13 + 45 -2x = -13 + 45 Combine like terms: -13 + 45 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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