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Simplifying 19 + -4(x + 4) = 12(x + 3) + -15 Reorder the terms: 19 + -4(4 + x) = 12(x + 3) + -15 19 + (4 * -4 + x * -4) = 12(x + 3) + -15 19 + (-16 + -4x) = 12(x + 3) + -15 Combine like terms: 19 + -16 = 3 3 + -4x = 12(x + 3) + -15 Reorder the terms: 3 + -4x = 12(3 + x) + -15 3 + -4x = (3 * 12 + x * 12) + -15 3 + -4x = (36 + 12x) + -15 Reorder the terms: 3 + -4x = 36 + -15 + 12x Combine like terms: 36 + -15 = 21 3 + -4x = 21 + 12x Solving 3 + -4x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -4x + -12x = 21 + 12x + -12x Combine like terms: -4x + -12x = -16x 3 + -16x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -16x = 21 + 0 3 + -16x = 21 Add '-3' to each side of the equation. 3 + -3 + -16x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = 21 + -3 -16x = 21 + -3 Combine like terms: 21 + -3 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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