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Simplifying 4(x + -7) + -6(x + -3) = -130 Reorder the terms: 4(-7 + x) + -6(x + -3) = -130 (-7 * 4 + x * 4) + -6(x + -3) = -130 (-28 + 4x) + -6(x + -3) = -130 Reorder the terms: -28 + 4x + -6(-3 + x) = -130 -28 + 4x + (-3 * -6 + x * -6) = -130 -28 + 4x + (18 + -6x) = -130 Reorder the terms: -28 + 18 + 4x + -6x = -130 Combine like terms: -28 + 18 = -10 -10 + 4x + -6x = -130 Combine like terms: 4x + -6x = -2x -10 + -2x = -130 Solving -10 + -2x = -130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = -130 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -130 + 10 -2x = -130 + 10 Combine like terms: -130 + 10 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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