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Simplifying 10(1 + -12x) + 4x = 9(7 + -7x) (1 * 10 + -12x * 10) + 4x = 9(7 + -7x) (10 + -120x) + 4x = 9(7 + -7x) Combine like terms: -120x + 4x = -116x 10 + -116x = 9(7 + -7x) 10 + -116x = (7 * 9 + -7x * 9) 10 + -116x = (63 + -63x) Solving 10 + -116x = 63 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 10 + -116x + 63x = 63 + -63x + 63x Combine like terms: -116x + 63x = -53x 10 + -53x = 63 + -63x + 63x Combine like terms: -63x + 63x = 0 10 + -53x = 63 + 0 10 + -53x = 63 Add '-10' to each side of the equation. 10 + -10 + -53x = 63 + -10 Combine like terms: 10 + -10 = 0 0 + -53x = 63 + -10 -53x = 63 + -10 Combine like terms: 63 + -10 = 53 -53x = 53 Divide each side by '-53'. x = -1 Simplifying x = -1
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