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Simplifying 6(1x + -2) + 18 = -2x + 46 Reorder the terms: 6(-2 + 1x) + 18 = -2x + 46 (-2 * 6 + 1x * 6) + 18 = -2x + 46 (-12 + 6x) + 18 = -2x + 46 Reorder the terms: -12 + 18 + 6x = -2x + 46 Combine like terms: -12 + 18 = 6 6 + 6x = -2x + 46 Reorder the terms: 6 + 6x = 46 + -2x Solving 6 + 6x = 46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 6x + 2x = 46 + -2x + 2x Combine like terms: 6x + 2x = 8x 6 + 8x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 8x = 46 + 0 6 + 8x = 46 Add '-6' to each side of the equation. 6 + -6 + 8x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 46 + -6 8x = 46 + -6 Combine like terms: 46 + -6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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