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Simplifying 5x + -1(6x + 4) = x + -7 Reorder the terms: 5x + -1(4 + 6x) = x + -7 5x + (4 * -1 + 6x * -1) = x + -7 5x + (-4 + -6x) = x + -7 Reorder the terms: -4 + 5x + -6x = x + -7 Combine like terms: 5x + -6x = -1x -4 + -1x = x + -7 Reorder the terms: -4 + -1x = -7 + x Solving -4 + -1x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -1x + -1x = -7 + x + -1x Combine like terms: -1x + -1x = -2x -4 + -2x = -7 + x + -1x Combine like terms: x + -1x = 0 -4 + -2x = -7 + 0 -4 + -2x = -7 Add '4' to each side of the equation. -4 + 4 + -2x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -7 + 4 -2x = -7 + 4 Combine like terms: -7 + 4 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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