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Simplifying 5(3x + -7) + -4 = 18x + -46 Reorder the terms: 5(-7 + 3x) + -4 = 18x + -46 (-7 * 5 + 3x * 5) + -4 = 18x + -46 (-35 + 15x) + -4 = 18x + -46 Reorder the terms: -35 + -4 + 15x = 18x + -46 Combine like terms: -35 + -4 = -39 -39 + 15x = 18x + -46 Reorder the terms: -39 + 15x = -46 + 18x Solving -39 + 15x = -46 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -39 + 15x + -18x = -46 + 18x + -18x Combine like terms: 15x + -18x = -3x -39 + -3x = -46 + 18x + -18x Combine like terms: 18x + -18x = 0 -39 + -3x = -46 + 0 -39 + -3x = -46 Add '39' to each side of the equation. -39 + 39 + -3x = -46 + 39 Combine like terms: -39 + 39 = 0 0 + -3x = -46 + 39 -3x = -46 + 39 Combine like terms: -46 + 39 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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