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Simplifying 7 + -1(3x + 10) = 4(x + -3) Reorder the terms: 7 + -1(10 + 3x) = 4(x + -3) 7 + (10 * -1 + 3x * -1) = 4(x + -3) 7 + (-10 + -3x) = 4(x + -3) Combine like terms: 7 + -10 = -3 -3 + -3x = 4(x + -3) Reorder the terms: -3 + -3x = 4(-3 + x) -3 + -3x = (-3 * 4 + x * 4) -3 + -3x = (-12 + 4x) Solving -3 + -3x = -12 + 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. -3 + -3x + -4x = -12 + 4x + -4x Combine like terms: -3x + -4x = -7x -3 + -7x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -7x = -12 + 0 -3 + -7x = -12 Add '3' to each side of the equation. -3 + 3 + -7x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -12 + 3 -7x = -12 + 3 Combine like terms: -12 + 3 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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