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Simplifying 8 + -3(x + 7) = 4x + 10 Reorder the terms: 8 + -3(7 + x) = 4x + 10 8 + (7 * -3 + x * -3) = 4x + 10 8 + (-21 + -3x) = 4x + 10 Combine like terms: 8 + -21 = -13 -13 + -3x = 4x + 10 Reorder the terms: -13 + -3x = 10 + 4x Solving -13 + -3x = 10 + 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. -13 + -3x + -4x = 10 + 4x + -4x Combine like terms: -3x + -4x = -7x -13 + -7x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -7x = 10 + 0 -13 + -7x = 10 Add '13' to each side of the equation. -13 + 13 + -7x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 10 + 13 -7x = 10 + 13 Combine like terms: 10 + 13 = 23 -7x = 23 Divide each side by '-7'. x = -3.285714286 Simplifying x = -3.285714286
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