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Simplifying 19 + -1(x + 6) = 4x + -7 Reorder the terms: 19 + -1(6 + x) = 4x + -7 19 + (6 * -1 + x * -1) = 4x + -7 19 + (-6 + -1x) = 4x + -7 Combine like terms: 19 + -6 = 13 13 + -1x = 4x + -7 Reorder the terms: 13 + -1x = -7 + 4x Solving 13 + -1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -1x + -4x = -7 + 4x + -4x Combine like terms: -1x + -4x = -5x 13 + -5x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -5x = -7 + 0 13 + -5x = -7 Add '-13' to each side of the equation. 13 + -13 + -5x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -7 + -13 -5x = -7 + -13 Combine like terms: -7 + -13 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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