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Simplifying 4(x + -19) = 12(x + 1) Reorder the terms: 4(-19 + x) = 12(x + 1) (-19 * 4 + x * 4) = 12(x + 1) (-76 + 4x) = 12(x + 1) Reorder the terms: -76 + 4x = 12(1 + x) -76 + 4x = (1 * 12 + x * 12) -76 + 4x = (12 + 12x) Solving -76 + 4x = 12 + 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. -76 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x -76 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -76 + -8x = 12 + 0 -76 + -8x = 12 Add '76' to each side of the equation. -76 + 76 + -8x = 12 + 76 Combine like terms: -76 + 76 = 0 0 + -8x = 12 + 76 -8x = 12 + 76 Combine like terms: 12 + 76 = 88 -8x = 88 Divide each side by '-8'. x = -11 Simplifying x = -11
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