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Simplifying 2(-5x) + -7(x + -4) = x + 10 Remove parenthesis around (-5x) 2 * -5x + -7(x + -4) = x + 10 Multiply 2 * -5 -10x + -7(x + -4) = x + 10 Reorder the terms: -10x + -7(-4 + x) = x + 10 -10x + (-4 * -7 + x * -7) = x + 10 -10x + (28 + -7x) = x + 10 Reorder the terms: 28 + -10x + -7x = x + 10 Combine like terms: -10x + -7x = -17x 28 + -17x = x + 10 Reorder the terms: 28 + -17x = 10 + x Solving 28 + -17x = 10 + 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. 28 + -17x + -1x = 10 + x + -1x Combine like terms: -17x + -1x = -18x 28 + -18x = 10 + x + -1x Combine like terms: x + -1x = 0 28 + -18x = 10 + 0 28 + -18x = 10 Add '-28' to each side of the equation. 28 + -28 + -18x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -18x = 10 + -28 -18x = 10 + -28 Combine like terms: 10 + -28 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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