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Simplifying 4(x + 2) + -10 = 5 + 2(x + -3) Reorder the terms: 4(2 + x) + -10 = 5 + 2(x + -3) (2 * 4 + x * 4) + -10 = 5 + 2(x + -3) (8 + 4x) + -10 = 5 + 2(x + -3) Reorder the terms: 8 + -10 + 4x = 5 + 2(x + -3) Combine like terms: 8 + -10 = -2 -2 + 4x = 5 + 2(x + -3) Reorder the terms: -2 + 4x = 5 + 2(-3 + x) -2 + 4x = 5 + (-3 * 2 + x * 2) -2 + 4x = 5 + (-6 + 2x) Combine like terms: 5 + -6 = -1 -2 + 4x = -1 + 2x Solving -2 + 4x = -1 + 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. -2 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = -1 + 0 -2 + 2x = -1 Add '2' to each side of the equation. -2 + 2 + 2x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -1 + 2 2x = -1 + 2 Combine like terms: -1 + 2 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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