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Simplifying 1 + -9(x + 6) = -2(4 + -3x) Reorder the terms: 1 + -9(6 + x) = -2(4 + -3x) 1 + (6 * -9 + x * -9) = -2(4 + -3x) 1 + (-54 + -9x) = -2(4 + -3x) Combine like terms: 1 + -54 = -53 -53 + -9x = -2(4 + -3x) -53 + -9x = (4 * -2 + -3x * -2) -53 + -9x = (-8 + 6x) Solving -53 + -9x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -53 + -9x + -6x = -8 + 6x + -6x Combine like terms: -9x + -6x = -15x -53 + -15x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + -15x = -8 + 0 -53 + -15x = -8 Add '53' to each side of the equation. -53 + 53 + -15x = -8 + 53 Combine like terms: -53 + 53 = 0 0 + -15x = -8 + 53 -15x = -8 + 53 Combine like terms: -8 + 53 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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