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Simplifying Can + -1(4x + -7) = 5x + -1(x + 21) Reorder the terms: anC + -1(-7 + 4x) = 5x + -1(x + 21) anC + (-7 * -1 + 4x * -1) = 5x + -1(x + 21) anC + (7 + -4x) = 5x + -1(x + 21) Reorder the terms: 7 + anC + -4x = 5x + -1(x + 21) Reorder the terms: 7 + anC + -4x = 5x + -1(21 + x) 7 + anC + -4x = 5x + (21 * -1 + x * -1) 7 + anC + -4x = 5x + (-21 + -1x) Reorder the terms: 7 + anC + -4x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 + anC + -4x = -21 + 4x Solving 7 + anC + -4x = -21 + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + anC + -7 + -4x = -21 + -7 + 4x Reorder the terms: 7 + -7 + anC + -4x = -21 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + anC + -4x = -21 + -7 + 4x anC + -4x = -21 + -7 + 4x Combine like terms: -21 + -7 = -28 anC + -4x = -28 + 4x Add '4x' to each side of the equation. anC + -4x + 4x = -28 + 4x + 4x Combine like terms: -4x + 4x = 0 anC + 0 = -28 + 4x + 4x anC = -28 + 4x + 4x Combine like terms: 4x + 4x = 8x anC = -28 + 8x Divide each side by 'nC'. a = -28n-1C-1 + 8n-1xC-1 Simplifying a = -28n-1C-1 + 8n-1xC-1
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