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Simplifying 3x + -7 = 2(x + -3) + -10 Reorder the terms: -7 + 3x = 2(x + -3) + -10 Reorder the terms: -7 + 3x = 2(-3 + x) + -10 -7 + 3x = (-3 * 2 + x * 2) + -10 -7 + 3x = (-6 + 2x) + -10 Reorder the terms: -7 + 3x = -6 + -10 + 2x Combine like terms: -6 + -10 = -16 -7 + 3x = -16 + 2x Solving -7 + 3x = -16 + 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. -7 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = -16 + 0 -7 + 1x = -16 Add '7' to each side of the equation. -7 + 7 + 1x = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -16 + 7 1x = -16 + 7 Combine like terms: -16 + 7 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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