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Simplifying 10x + -5 + 8x = 15 + -3(x + -4) Reorder the terms: -5 + 10x + 8x = 15 + -3(x + -4) Combine like terms: 10x + 8x = 18x -5 + 18x = 15 + -3(x + -4) Reorder the terms: -5 + 18x = 15 + -3(-4 + x) -5 + 18x = 15 + (-4 * -3 + x * -3) -5 + 18x = 15 + (12 + -3x) Combine like terms: 15 + 12 = 27 -5 + 18x = 27 + -3x Solving -5 + 18x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 18x + 3x = 27 + -3x + 3x Combine like terms: 18x + 3x = 21x -5 + 21x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 21x = 27 + 0 -5 + 21x = 27 Add '5' to each side of the equation. -5 + 5 + 21x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 27 + 5 21x = 27 + 5 Combine like terms: 27 + 5 = 32 21x = 32 Divide each side by '21'. x = 1.523809524 Simplifying x = 1.523809524
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