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Simplifying 38 + -6x + 7 = 10x + 12 + 9x + 5x + -15x + -24 + 15x + -6 Reorder the terms: 38 + 7 + -6x = 10x + 12 + 9x + 5x + -15x + -24 + 15x + -6 Combine like terms: 38 + 7 = 45 45 + -6x = 10x + 12 + 9x + 5x + -15x + -24 + 15x + -6 Reorder the terms: 45 + -6x = 12 + -24 + -6 + 10x + 9x + 5x + -15x + 15x Combine like terms: 12 + -24 = -12 45 + -6x = -12 + -6 + 10x + 9x + 5x + -15x + 15x Combine like terms: -12 + -6 = -18 45 + -6x = -18 + 10x + 9x + 5x + -15x + 15x Combine like terms: 10x + 9x = 19x 45 + -6x = -18 + 19x + 5x + -15x + 15x Combine like terms: 19x + 5x = 24x 45 + -6x = -18 + 24x + -15x + 15x Combine like terms: 24x + -15x = 9x 45 + -6x = -18 + 9x + 15x Combine like terms: 9x + 15x = 24x 45 + -6x = -18 + 24x Solving 45 + -6x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + -6x + -24x = -18 + 24x + -24x Combine like terms: -6x + -24x = -30x 45 + -30x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 45 + -30x = -18 + 0 45 + -30x = -18 Add '-45' to each side of the equation. 45 + -45 + -30x = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -30x = -18 + -45 -30x = -18 + -45 Combine like terms: -18 + -45 = -63 -30x = -63 Divide each side by '-30'. x = 2.1 Simplifying x = 2.1
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