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Simplifying 5 + -2(x + -7) = 4x + 10 Reorder the terms: 5 + -2(-7 + x) = 4x + 10 5 + (-7 * -2 + x * -2) = 4x + 10 5 + (14 + -2x) = 4x + 10 Combine like terms: 5 + 14 = 19 19 + -2x = 4x + 10 Reorder the terms: 19 + -2x = 10 + 4x Solving 19 + -2x = 10 + 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. 19 + -2x + -4x = 10 + 4x + -4x Combine like terms: -2x + -4x = -6x 19 + -6x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -6x = 10 + 0 19 + -6x = 10 Add '-19' to each side of the equation. 19 + -19 + -6x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 10 + -19 -6x = 10 + -19 Combine like terms: 10 + -19 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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