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Simplifying 3(x + -10) = 7(x + -4) Reorder the terms: 3(-10 + x) = 7(x + -4) (-10 * 3 + x * 3) = 7(x + -4) (-30 + 3x) = 7(x + -4) Reorder the terms: -30 + 3x = 7(-4 + x) -30 + 3x = (-4 * 7 + x * 7) -30 + 3x = (-28 + 7x) Solving -30 + 3x = -28 + 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. -30 + 3x + -7x = -28 + 7x + -7x Combine like terms: 3x + -7x = -4x -30 + -4x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -4x = -28 + 0 -30 + -4x = -28 Add '30' to each side of the equation. -30 + 30 + -4x = -28 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = -28 + 30 -4x = -28 + 30 Combine like terms: -28 + 30 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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