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Simplifying 4(4x + 3) = 10x + 6x + C Reorder the terms: 4(3 + 4x) = 10x + 6x + C (3 * 4 + 4x * 4) = 10x + 6x + C (12 + 16x) = 10x + 6x + C Reorder the terms: 12 + 16x = C + 10x + 6x Combine like terms: 10x + 6x = 16x 12 + 16x = C + 16x Add '-16x' to each side of the equation. 12 + 16x + -16x = C + 16x + -16x Combine like terms: 16x + -16x = 0 12 + 0 = C + 16x + -16x 12 = C + 16x + -16x Combine like terms: 16x + -16x = 0 12 = C + 0 12 = C Solving 12 = C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1C' to each side of the equation. 12 + -1C = C + -1C Combine like terms: C + -1C = 0 12 + -1C = 0 Add '-12' to each side of the equation. 12 + -12 + -1C = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1C = 0 + -12 -1C = 0 + -12 Combine like terms: 0 + -12 = -12 -1C = -12 Divide each side by '-1'. C = 12 Simplifying C = 12
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