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Simplifying 8(3x + -19) = 15x + 7 Reorder the terms: 8(-19 + 3x) = 15x + 7 (-19 * 8 + 3x * 8) = 15x + 7 (-152 + 24x) = 15x + 7 Reorder the terms: -152 + 24x = 7 + 15x Solving -152 + 24x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -152 + 24x + -15x = 7 + 15x + -15x Combine like terms: 24x + -15x = 9x -152 + 9x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -152 + 9x = 7 + 0 -152 + 9x = 7 Add '152' to each side of the equation. -152 + 152 + 9x = 7 + 152 Combine like terms: -152 + 152 = 0 0 + 9x = 7 + 152 9x = 7 + 152 Combine like terms: 7 + 152 = 159 9x = 159 Divide each side by '9'. x = 17.66666667 Simplifying x = 17.66666667
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