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Simplifying 2(x + -4) + 5(x + -6) = x + 4 Reorder the terms: 2(-4 + x) + 5(x + -6) = x + 4 (-4 * 2 + x * 2) + 5(x + -6) = x + 4 (-8 + 2x) + 5(x + -6) = x + 4 Reorder the terms: -8 + 2x + 5(-6 + x) = x + 4 -8 + 2x + (-6 * 5 + x * 5) = x + 4 -8 + 2x + (-30 + 5x) = x + 4 Reorder the terms: -8 + -30 + 2x + 5x = x + 4 Combine like terms: -8 + -30 = -38 -38 + 2x + 5x = x + 4 Combine like terms: 2x + 5x = 7x -38 + 7x = x + 4 Reorder the terms: -38 + 7x = 4 + x Solving -38 + 7x = 4 + 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. -38 + 7x + -1x = 4 + x + -1x Combine like terms: 7x + -1x = 6x -38 + 6x = 4 + x + -1x Combine like terms: x + -1x = 0 -38 + 6x = 4 + 0 -38 + 6x = 4 Add '38' to each side of the equation. -38 + 38 + 6x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 4 + 38 6x = 4 + 38 Combine like terms: 4 + 38 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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