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Simplifying 4(1x + -4) = -2(1x + -19) Reorder the terms: 4(-4 + 1x) = -2(1x + -19) (-4 * 4 + 1x * 4) = -2(1x + -19) (-16 + 4x) = -2(1x + -19) Reorder the terms: -16 + 4x = -2(-19 + 1x) -16 + 4x = (-19 * -2 + 1x * -2) -16 + 4x = (38 + -2x) Solving -16 + 4x = 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. -16 + 4x + 2x = 38 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 38 + 0 -16 + 6x = 38 Add '16' to each side of the equation. -16 + 16 + 6x = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 38 + 16 6x = 38 + 16 Combine like terms: 38 + 16 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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