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Simplifying 4(-3x + 10) + 3x = 3 + -7(x + -1) Reorder the terms: 4(10 + -3x) + 3x = 3 + -7(x + -1) (10 * 4 + -3x * 4) + 3x = 3 + -7(x + -1) (40 + -12x) + 3x = 3 + -7(x + -1) Combine like terms: -12x + 3x = -9x 40 + -9x = 3 + -7(x + -1) Reorder the terms: 40 + -9x = 3 + -7(-1 + x) 40 + -9x = 3 + (-1 * -7 + x * -7) 40 + -9x = 3 + (7 + -7x) Combine like terms: 3 + 7 = 10 40 + -9x = 10 + -7x Solving 40 + -9x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 40 + -9x + 7x = 10 + -7x + 7x Combine like terms: -9x + 7x = -2x 40 + -2x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + -2x = 10 + 0 40 + -2x = 10 Add '-40' to each side of the equation. 40 + -40 + -2x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 10 + -40 -2x = 10 + -40 Combine like terms: 10 + -40 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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