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Simplifying 9x + -10(x + 5) = 3(6x + -7) + 3 Reorder the terms: 9x + -10(5 + x) = 3(6x + -7) + 3 9x + (5 * -10 + x * -10) = 3(6x + -7) + 3 9x + (-50 + -10x) = 3(6x + -7) + 3 Reorder the terms: -50 + 9x + -10x = 3(6x + -7) + 3 Combine like terms: 9x + -10x = -1x -50 + -1x = 3(6x + -7) + 3 Reorder the terms: -50 + -1x = 3(-7 + 6x) + 3 -50 + -1x = (-7 * 3 + 6x * 3) + 3 -50 + -1x = (-21 + 18x) + 3 Reorder the terms: -50 + -1x = -21 + 3 + 18x Combine like terms: -21 + 3 = -18 -50 + -1x = -18 + 18x Solving -50 + -1x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -50 + -1x + -18x = -18 + 18x + -18x Combine like terms: -1x + -18x = -19x -50 + -19x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 -50 + -19x = -18 + 0 -50 + -19x = -18 Add '50' to each side of the equation. -50 + 50 + -19x = -18 + 50 Combine like terms: -50 + 50 = 0 0 + -19x = -18 + 50 -19x = -18 + 50 Combine like terms: -18 + 50 = 32 -19x = 32 Divide each side by '-19'. x = -1.684210526 Simplifying x = -1.684210526
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