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Simplifying 10x + -3(x + -16) = x + 30 Reorder the terms: 10x + -3(-16 + x) = x + 30 10x + (-16 * -3 + x * -3) = x + 30 10x + (48 + -3x) = x + 30 Reorder the terms: 48 + 10x + -3x = x + 30 Combine like terms: 10x + -3x = 7x 48 + 7x = x + 30 Reorder the terms: 48 + 7x = 30 + x Solving 48 + 7x = 30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 48 + 7x + -1x = 30 + x + -1x Combine like terms: 7x + -1x = 6x 48 + 6x = 30 + x + -1x Combine like terms: x + -1x = 0 48 + 6x = 30 + 0 48 + 6x = 30 Add '-48' to each side of the equation. 48 + -48 + 6x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 30 + -48 6x = 30 + -48 Combine like terms: 30 + -48 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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