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Simplifying 10x + -6 = 4x + -3(5 + x) Reorder the terms: -6 + 10x = 4x + -3(5 + x) -6 + 10x = 4x + (5 * -3 + x * -3) -6 + 10x = 4x + (-15 + -3x) Reorder the terms: -6 + 10x = -15 + 4x + -3x Combine like terms: 4x + -3x = 1x -6 + 10x = -15 + 1x Solving -6 + 10x = -15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 10x + -1x = -15 + 1x + -1x Combine like terms: 10x + -1x = 9x -6 + 9x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 9x = -15 + 0 -6 + 9x = -15 Add '6' to each side of the equation. -6 + 6 + 9x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -15 + 6 9x = -15 + 6 Combine like terms: -15 + 6 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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