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Simplifying 19 + -2(2x + 3) = 2(x + 3) Reorder the terms: 19 + -2(3 + 2x) = 2(x + 3) 19 + (3 * -2 + 2x * -2) = 2(x + 3) 19 + (-6 + -4x) = 2(x + 3) Combine like terms: 19 + -6 = 13 13 + -4x = 2(x + 3) Reorder the terms: 13 + -4x = 2(3 + x) 13 + -4x = (3 * 2 + x * 2) 13 + -4x = (6 + 2x) Solving 13 + -4x = 6 + 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 + -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x 13 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -6x = 6 + 0 13 + -6x = 6 Add '-13' to each side of the equation. 13 + -13 + -6x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 6 + -13 -6x = 6 + -13 Combine like terms: 6 + -13 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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