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Simplifying 7 + -4(2x + 5) = 19 + -2x Reorder the terms: 7 + -4(5 + 2x) = 19 + -2x 7 + (5 * -4 + 2x * -4) = 19 + -2x 7 + (-20 + -8x) = 19 + -2x Combine like terms: 7 + -20 = -13 -13 + -8x = 19 + -2x Solving -13 + -8x = 19 + -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. -13 + -8x + 2x = 19 + -2x + 2x Combine like terms: -8x + 2x = -6x -13 + -6x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + -6x = 19 + 0 -13 + -6x = 19 Add '13' to each side of the equation. -13 + 13 + -6x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 19 + 13 -6x = 19 + 13 Combine like terms: 19 + 13 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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