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Simplifying 4(x + -7) + 10 = 2(x + -6) Reorder the terms: 4(-7 + x) + 10 = 2(x + -6) (-7 * 4 + x * 4) + 10 = 2(x + -6) (-28 + 4x) + 10 = 2(x + -6) Reorder the terms: -28 + 10 + 4x = 2(x + -6) Combine like terms: -28 + 10 = -18 -18 + 4x = 2(x + -6) Reorder the terms: -18 + 4x = 2(-6 + x) -18 + 4x = (-6 * 2 + x * 2) -18 + 4x = (-12 + 2x) Solving -18 + 4x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x -18 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 2x = -12 + 0 -18 + 2x = -12 Add '18' to each side of the equation. -18 + 18 + 2x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -12 + 18 2x = -12 + 18 Combine like terms: -12 + 18 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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