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Simplifying 6x + 30 + 2 = 8(2x + -5) + 22 Reorder the terms: 30 + 2 + 6x = 8(2x + -5) + 22 Combine like terms: 30 + 2 = 32 32 + 6x = 8(2x + -5) + 22 Reorder the terms: 32 + 6x = 8(-5 + 2x) + 22 32 + 6x = (-5 * 8 + 2x * 8) + 22 32 + 6x = (-40 + 16x) + 22 Reorder the terms: 32 + 6x = -40 + 22 + 16x Combine like terms: -40 + 22 = -18 32 + 6x = -18 + 16x Solving 32 + 6x = -18 + 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. 32 + 6x + -16x = -18 + 16x + -16x Combine like terms: 6x + -16x = -10x 32 + -10x = -18 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -10x = -18 + 0 32 + -10x = -18 Add '-32' to each side of the equation. 32 + -32 + -10x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -18 + -32 -10x = -18 + -32 Combine like terms: -18 + -32 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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