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Simplifying 6x + -7(3x + -5) = 3 + -1[4 + -8(3x + -4)] Reorder the terms: 6x + -7(-5 + 3x) = 3 + -1[4 + -8(3x + -4)] 6x + (-5 * -7 + 3x * -7) = 3 + -1[4 + -8(3x + -4)] 6x + (35 + -21x) = 3 + -1[4 + -8(3x + -4)] Reorder the terms: 35 + 6x + -21x = 3 + -1[4 + -8(3x + -4)] Combine like terms: 6x + -21x = -15x 35 + -15x = 3 + -1[4 + -8(3x + -4)] Reorder the terms: 35 + -15x = 3 + -1[4 + -8(-4 + 3x)] 35 + -15x = 3 + -1[4 + (-4 * -8 + 3x * -8)] 35 + -15x = 3 + -1[4 + (32 + -24x)] Combine like terms: 4 + 32 = 36 35 + -15x = 3 + -1[36 + -24x] 35 + -15x = 3 + [36 * -1 + -24x * -1] 35 + -15x = 3 + [-36 + 24x] Combine like terms: 3 + -36 = -33 35 + -15x = -33 + 24x Solving 35 + -15x = -33 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 35 + -15x + -24x = -33 + 24x + -24x Combine like terms: -15x + -24x = -39x 35 + -39x = -33 + 24x + -24x Combine like terms: 24x + -24x = 0 35 + -39x = -33 + 0 35 + -39x = -33 Add '-35' to each side of the equation. 35 + -35 + -39x = -33 + -35 Combine like terms: 35 + -35 = 0 0 + -39x = -33 + -35 -39x = -33 + -35 Combine like terms: -33 + -35 = -68 -39x = -68 Divide each side by '-39'. x = 1.743589744 Simplifying x = 1.743589744
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