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Simplifying 4x + -10 = 3(5x + -7) Reorder the terms: -10 + 4x = 3(5x + -7) Reorder the terms: -10 + 4x = 3(-7 + 5x) -10 + 4x = (-7 * 3 + 5x * 3) -10 + 4x = (-21 + 15x) Solving -10 + 4x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 4x + -15x = -21 + 15x + -15x Combine like terms: 4x + -15x = -11x -10 + -11x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -11x = -21 + 0 -10 + -11x = -21 Add '10' to each side of the equation. -10 + 10 + -11x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -21 + 10 -11x = -21 + 10 Combine like terms: -21 + 10 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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