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Simplifying -1(4x + 1) + 9 = 1 + 6x Reorder the terms: -1(1 + 4x) + 9 = 1 + 6x (1 * -1 + 4x * -1) + 9 = 1 + 6x (-1 + -4x) + 9 = 1 + 6x Reorder the terms: -1 + 9 + -4x = 1 + 6x Combine like terms: -1 + 9 = 8 8 + -4x = 1 + 6x Solving 8 + -4x = 1 + 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. 8 + -4x + -6x = 1 + 6x + -6x Combine like terms: -4x + -6x = -10x 8 + -10x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -10x = 1 + 0 8 + -10x = 1 Add '-8' to each side of the equation. 8 + -8 + -10x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 1 + -8 -10x = 1 + -8 Combine like terms: 1 + -8 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7
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