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Simplifying 2(6 + -1x) + 24 + -18x = 70 + -24x + -18(-3) (6 * 2 + -1x * 2) + 24 + -18x = 70 + -24x + -18(-3) (12 + -2x) + 24 + -18x = 70 + -24x + -18(-3) Reorder the terms: 12 + 24 + -2x + -18x = 70 + -24x + -18(-3) Combine like terms: 12 + 24 = 36 36 + -2x + -18x = 70 + -24x + -18(-3) Combine like terms: -2x + -18x = -20x 36 + -20x = 70 + -24x + -18(-3) Multiply -18 * -3 36 + -20x = 70 + -24x + 54 Reorder the terms: 36 + -20x = 70 + 54 + -24x Combine like terms: 70 + 54 = 124 36 + -20x = 124 + -24x Solving 36 + -20x = 124 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 36 + -20x + 24x = 124 + -24x + 24x Combine like terms: -20x + 24x = 4x 36 + 4x = 124 + -24x + 24x Combine like terms: -24x + 24x = 0 36 + 4x = 124 + 0 36 + 4x = 124 Add '-36' to each side of the equation. 36 + -36 + 4x = 124 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 124 + -36 4x = 124 + -36 Combine like terms: 124 + -36 = 88 4x = 88 Divide each side by '4'. x = 22 Simplifying x = 22
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