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Simplifying 5 + -2(x + -4) = 4x + 7 Reorder the terms: 5 + -2(-4 + x) = 4x + 7 5 + (-4 * -2 + x * -2) = 4x + 7 5 + (8 + -2x) = 4x + 7 Combine like terms: 5 + 8 = 13 13 + -2x = 4x + 7 Reorder the terms: 13 + -2x = 7 + 4x Solving 13 + -2x = 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 + -2x + -4x = 7 + 4x + -4x Combine like terms: -2x + -4x = -6x 13 + -6x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -6x = 7 + 0 13 + -6x = 7 Add '-13' to each side of the equation. 13 + -13 + -6x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 7 + -13 -6x = 7 + -13 Combine like terms: 7 + -13 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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