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Simplifying 4x + -5 = 3(2x + 1) + -10 Reorder the terms: -5 + 4x = 3(2x + 1) + -10 Reorder the terms: -5 + 4x = 3(1 + 2x) + -10 -5 + 4x = (1 * 3 + 2x * 3) + -10 -5 + 4x = (3 + 6x) + -10 Reorder the terms: -5 + 4x = 3 + -10 + 6x Combine like terms: 3 + -10 = -7 -5 + 4x = -7 + 6x Solving -5 + 4x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 4x + -6x = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x -5 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -2x = -7 + 0 -5 + -2x = -7 Add '5' to each side of the equation. -5 + 5 + -2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -7 + 5 -2x = -7 + 5 Combine like terms: -7 + 5 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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