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Simplifying 6x + -15 + 4(x + -3) = 17 + -1x Reorder the terms: 6x + -15 + 4(-3 + x) = 17 + -1x 6x + -15 + (-3 * 4 + x * 4) = 17 + -1x 6x + -15 + (-12 + 4x) = 17 + -1x Reorder the terms: -15 + -12 + 6x + 4x = 17 + -1x Combine like terms: -15 + -12 = -27 -27 + 6x + 4x = 17 + -1x Combine like terms: 6x + 4x = 10x -27 + 10x = 17 + -1x Solving -27 + 10x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 10x + x = 17 + -1x + x Combine like terms: 10x + x = 11x -27 + 11x = 17 + -1x + x Combine like terms: -1x + x = 0 -27 + 11x = 17 + 0 -27 + 11x = 17 Add '27' to each side of the equation. -27 + 27 + 11x = 17 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 17 + 27 11x = 17 + 27 Combine like terms: 17 + 27 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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