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Simplifying 7(x + -3) = -8(x + 1) + 23 Reorder the terms: 7(-3 + x) = -8(x + 1) + 23 (-3 * 7 + x * 7) = -8(x + 1) + 23 (-21 + 7x) = -8(x + 1) + 23 Reorder the terms: -21 + 7x = -8(1 + x) + 23 -21 + 7x = (1 * -8 + x * -8) + 23 -21 + 7x = (-8 + -8x) + 23 Reorder the terms: -21 + 7x = -8 + 23 + -8x Combine like terms: -8 + 23 = 15 -21 + 7x = 15 + -8x Solving -21 + 7x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + 7x + 8x = 15 + -8x + 8x Combine like terms: 7x + 8x = 15x -21 + 15x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 15x = 15 + 0 -21 + 15x = 15 Add '21' to each side of the equation. -21 + 21 + 15x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 15 + 21 15x = 15 + 21 Combine like terms: 15 + 21 = 36 15x = 36 Divide each side by '15'. x = 2.4 Simplifying x = 2.4
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