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Simplifying 4(x + -7) = 3(x + 3) + -10 Reorder the terms: 4(-7 + x) = 3(x + 3) + -10 (-7 * 4 + x * 4) = 3(x + 3) + -10 (-28 + 4x) = 3(x + 3) + -10 Reorder the terms: -28 + 4x = 3(3 + x) + -10 -28 + 4x = (3 * 3 + x * 3) + -10 -28 + 4x = (9 + 3x) + -10 Reorder the terms: -28 + 4x = 9 + -10 + 3x Combine like terms: 9 + -10 = -1 -28 + 4x = -1 + 3x Solving -28 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = -1 + 0 -28 + 1x = -1 Add '28' to each side of the equation. -28 + 28 + 1x = -1 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -1 + 28 1x = -1 + 28 Combine like terms: -1 + 28 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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