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Simplifying 6(5 + x) = 4(4x + -2) + -8 (5 * 6 + x * 6) = 4(4x + -2) + -8 (30 + 6x) = 4(4x + -2) + -8 Reorder the terms: 30 + 6x = 4(-2 + 4x) + -8 30 + 6x = (-2 * 4 + 4x * 4) + -8 30 + 6x = (-8 + 16x) + -8 Reorder the terms: 30 + 6x = -8 + -8 + 16x Combine like terms: -8 + -8 = -16 30 + 6x = -16 + 16x Solving 30 + 6x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 30 + 6x + -16x = -16 + 16x + -16x Combine like terms: 6x + -16x = -10x 30 + -10x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -10x = -16 + 0 30 + -10x = -16 Add '-30' to each side of the equation. 30 + -30 + -10x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -16 + -30 -10x = -16 + -30 Combine like terms: -16 + -30 = -46 -10x = -46 Divide each side by '-10'. x = 4.6 Simplifying x = 4.6
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