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Simplifying 4(2x + 3) = -2(x + 19) Reorder the terms: 4(3 + 2x) = -2(x + 19) (3 * 4 + 2x * 4) = -2(x + 19) (12 + 8x) = -2(x + 19) Reorder the terms: 12 + 8x = -2(19 + x) 12 + 8x = (19 * -2 + x * -2) 12 + 8x = (-38 + -2x) Solving 12 + 8x = -38 + -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. 12 + 8x + 2x = -38 + -2x + 2x Combine like terms: 8x + 2x = 10x 12 + 10x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 10x = -38 + 0 12 + 10x = -38 Add '-12' to each side of the equation. 12 + -12 + 10x = -38 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = -38 + -12 10x = -38 + -12 Combine like terms: -38 + -12 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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