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Simplifying 10 + -5(2x + -7) = -4x + 3 Reorder the terms: 10 + -5(-7 + 2x) = -4x + 3 10 + (-7 * -5 + 2x * -5) = -4x + 3 10 + (35 + -10x) = -4x + 3 Combine like terms: 10 + 35 = 45 45 + -10x = -4x + 3 Reorder the terms: 45 + -10x = 3 + -4x Solving 45 + -10x = 3 + -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. 45 + -10x + 4x = 3 + -4x + 4x Combine like terms: -10x + 4x = -6x 45 + -6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + -6x = 3 + 0 45 + -6x = 3 Add '-45' to each side of the equation. 45 + -45 + -6x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 3 + -45 -6x = 3 + -45 Combine like terms: 3 + -45 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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