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Simplifying 6x + -40 = 8(2x + 5) Reorder the terms: -40 + 6x = 8(2x + 5) Reorder the terms: -40 + 6x = 8(5 + 2x) -40 + 6x = (5 * 8 + 2x * 8) -40 + 6x = (40 + 16x) Solving -40 + 6x = 40 + 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. -40 + 6x + -16x = 40 + 16x + -16x Combine like terms: 6x + -16x = -10x -40 + -10x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -40 + -10x = 40 + 0 -40 + -10x = 40 Add '40' to each side of the equation. -40 + 40 + -10x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = 40 + 40 -10x = 40 + 40 Combine like terms: 40 + 40 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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