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Simplifying 5(6 + -3x) + 6x = 8(4 + 2x) (6 * 5 + -3x * 5) + 6x = 8(4 + 2x) (30 + -15x) + 6x = 8(4 + 2x) Combine like terms: -15x + 6x = -9x 30 + -9x = 8(4 + 2x) 30 + -9x = (4 * 8 + 2x * 8) 30 + -9x = (32 + 16x) Solving 30 + -9x = 32 + 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 + -9x + -16x = 32 + 16x + -16x Combine like terms: -9x + -16x = -25x 30 + -25x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -25x = 32 + 0 30 + -25x = 32 Add '-30' to each side of the equation. 30 + -30 + -25x = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -25x = 32 + -30 -25x = 32 + -30 Combine like terms: 32 + -30 = 2 -25x = 2 Divide each side by '-25'. x = -0.08 Simplifying x = -0.08
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