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Simplifying 3x + -5 = 4(x + -2) + -10 Reorder the terms: -5 + 3x = 4(x + -2) + -10 Reorder the terms: -5 + 3x = 4(-2 + x) + -10 -5 + 3x = (-2 * 4 + x * 4) + -10 -5 + 3x = (-8 + 4x) + -10 Reorder the terms: -5 + 3x = -8 + -10 + 4x Combine like terms: -8 + -10 = -18 -5 + 3x = -18 + 4x Solving -5 + 3x = -18 + 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. -5 + 3x + -4x = -18 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = -18 + 0 -5 + -1x = -18 Add '5' to each side of the equation. -5 + 5 + -1x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -18 + 5 -1x = -18 + 5 Combine like terms: -18 + 5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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