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Simplifying 5 + 3(x + -7) = 4x + -23 Reorder the terms: 5 + 3(-7 + x) = 4x + -23 5 + (-7 * 3 + x * 3) = 4x + -23 5 + (-21 + 3x) = 4x + -23 Combine like terms: 5 + -21 = -16 -16 + 3x = 4x + -23 Reorder the terms: -16 + 3x = -23 + 4x Solving -16 + 3x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 3x + -4x = -23 + 4x + -4x Combine like terms: 3x + -4x = -1x -16 + -1x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -1x = -23 + 0 -16 + -1x = -23 Add '16' to each side of the equation. -16 + 16 + -1x = -23 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -23 + 16 -1x = -23 + 16 Combine like terms: -23 + 16 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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