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Simplifying 21x + -9 + -14X + 3 = 22X + -7 + -15X + 11 Reorder the terms: -9 + 3 + -14X + 21x = 22X + -7 + -15X + 11 Combine like terms: -9 + 3 = -6 -6 + -14X + 21x = 22X + -7 + -15X + 11 Reorder the terms: -6 + -14X + 21x = -7 + 11 + 22X + -15X Combine like terms: -7 + 11 = 4 -6 + -14X + 21x = 4 + 22X + -15X Combine like terms: 22X + -15X = 7X -6 + -14X + 21x = 4 + 7X Solving -6 + -14X + 21x = 4 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -6 + -14X + -7X + 21x = 4 + 7X + -7X Combine like terms: -14X + -7X = -21X -6 + -21X + 21x = 4 + 7X + -7X Combine like terms: 7X + -7X = 0 -6 + -21X + 21x = 4 + 0 -6 + -21X + 21x = 4 Add '6' to each side of the equation. -6 + -21X + 6 + 21x = 4 + 6 Reorder the terms: -6 + 6 + -21X + 21x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -21X + 21x = 4 + 6 -21X + 21x = 4 + 6 Combine like terms: 4 + 6 = 10 -21X + 21x = 10 Add '-21x' to each side of the equation. -21X + 21x + -21x = 10 + -21x Combine like terms: 21x + -21x = 0 -21X + 0 = 10 + -21x -21X = 10 + -21x Divide each side by '-21'. X = -0.4761904762 + x Simplifying X = -0.4761904762 + x
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