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Simplifying 10x + 1 = 9(x + -3) + 4 Reorder the terms: 1 + 10x = 9(x + -3) + 4 Reorder the terms: 1 + 10x = 9(-3 + x) + 4 1 + 10x = (-3 * 9 + x * 9) + 4 1 + 10x = (-27 + 9x) + 4 Reorder the terms: 1 + 10x = -27 + 4 + 9x Combine like terms: -27 + 4 = -23 1 + 10x = -23 + 9x Solving 1 + 10x = -23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 10x + -9x = -23 + 9x + -9x Combine like terms: 10x + -9x = 1x 1 + 1x = -23 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + 1x = -23 + 0 1 + 1x = -23 Add '-1' to each side of the equation. 1 + -1 + 1x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -23 + -1 1x = -23 + -1 Combine like terms: -23 + -1 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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